The function Y=4.75+2.20(X-1) can be used to determine the cost in dollars for a taxi ride in Houston, TX. What is the rate of change of the cost in dollars with respect to the number of miles?

Answers

Answer 1

Answer:

2.20 dollars/mile

Step-by-step explanation:

Given the function:

y = 4.75 + 2.20(x-1)

Before we get the rate of change of the cost, we need to write the expression in the form y = mx+c where;

m is the rate of change of the cost

From the function given:

y = 4.75 + 2.20(x-1)

Open the parenthesis

y = 4.75 + 2.20x -2.20

y = 2.20x + 2.55

On comparing with the standard

m = 2.20

Hence the rate of change of the cost in dollars with respect to the number of miles is 2.20 dollars/mile


Related Questions

Find the height of an equilateral triangle with side length 8.

Answers

Answer:

U need to just do

[tex] \sqrt{3 \div 4} a {}^{2} [/tex]

Answer:

4[tex]\sqrt{5}[/tex]

Step-by-step explanation:

The segment from a vertex to the side opposite is a perpendicular bisector.

The equilateral Δ is divided into 2 right triangles with legs 8 and 4

let height be h, then using Pythagoras' identity

h² = 4² + 8² = 16 + 64 = 80 ( take the square root of both sides )

h = [tex]\sqrt{80}[/tex] = 4[tex]\sqrt{5}[/tex] ← exact value


What is the slope of a line that is perpendicular to the line in the graph?

Answers

Answer:

The slope of the required line is 1

Step-by-step explanation:

The Slope of a Line

Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

The graph shows a line whose slope can be calculated by selecting two points it goes through. Let's pick points (0,0) and (2,-2). Thus the slope is:

[tex]\displaystyle m=\frac{-2-0}{2-0}=-1[/tex]

The slope (m') of a line that is perpendicular to the line in the graph can be found by using the equation:

m*m'=-1

Solving for m':

[tex]m'=-\frac{1}{m}=-\frac{1}{-1}=1[/tex]

Thus the slope of the required line is 1

find (4.54×10^8)-(3.98×10^8)

Answers

Answer:

[tex]5.6 *10^7[/tex]

Step-by-step explanation:

Given

[tex](4.54*10^8)-(3.98*10^8)[/tex]

Required

Solve

[tex](4.54*10^8)-(3.98*10^8)[/tex]

Apply distributive law of algebra

[tex](4.54 - 3.98) *10^8[/tex]

Evaluate the expression in bracket

[tex](0.56) *10^8[/tex]

Remove bracket

[tex]0.56 *10^8[/tex]

When a number is in standard form: [tex]a * 10^n[/tex]

The value of a must be: [tex]1 \le a \le 10[/tex]

So, the expression becomes:

[tex]5.6 *10^{-1}*10^8[/tex]

Apply law of indices

[tex]5.6 *10^{-1+8}[/tex]

[tex]5.6 *10^7[/tex]

15points

Which three side lengths best describe the triangle in the diagram?

A. 5 cm, 12 cm, and 13 cm
B. 5 cm, 10 cm, and 13 cm
C. 4 cm, 8 cm, and 12 cm
D. 7 cm, 12 cm, and 13 cm

Answers

Answer:

the answer is A

Step-by-step explanation:

A right triangle has a base of 6m and a height of 8m. The slant (hypotenuse) is 10m. What is the DIFFERENCE Between the area of this triangle and the perimeter of this triangle?

Answers

Answer:

Step-by-step explanation:

Perimeter=a+b+c=6+8+10=24 m

Area=1/2*a*b=1/2*6*8=24 m^2

What do you do to convert 0.02083 to 75 mph?

Answers

Answer: 120.7008 Kilometers per Hour

Factor the expression using the GCF. 44-11 I NEED HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

11(4-1)

Step-by-step explanation:

11 is the greatist common factor of 44 and 11 so you factor an 11 out of both terms

44/11=4

11/11=4

Therefore the answer is 11(4-1)

Hypotheses are______.

Answers

What are the choices?

hypothesis is a guess that you test run.

what is the graph in slope intercept form

Answers

Answer: Slope intercept form is y=mx+b, where m is slope and b is the y-intercept. We can use this form of a linear equation to draw the graph of that equation on the x-y coordinate plane.

Step-by-step explanation:

Answer:

Slope intercept form is y=mx+b which is m is slope and b is the y-intercept.

Step-by-step explanation:

Find the slope intercept equation of the line

Answers

Answer:

y=1/5x+0

Step-by-step explanation:

Consider the inequality x + 7 < 9. Select all the true statements.​

Answers

Answer:

Step-by-step explanation:

here you go mate

step 1

x + 7 < 9  equation

step 2

x + 7 < 9  subtract -7

x+7(-7)<9(-7)

answer

x<2

8 in.
4 in.
10 in.
1
The area of the trapezoid is
square inches

Answers

Answer:

71

Step-by-step explanation:

i just want to ask a question sorry for not being helpful

Which of the binomials below is a factor of this trinomial?
x² + 5x-36

Answers

Answer:

A. x + 9

Step-by-step explanation:

x² + 5x - 36 = (x + 9) (x - 4)

PLEASE ANSWER ASASP!
-16(d + 1) = -20
what is d?

Answers

Answer:

d=1/4

Step-by-step explanation:

PLS ANSWER THIS ASAP THANK YOU AND I WILL GIVE YOU THANKS

Answers

Should be D. 2x65=130-20=110

10. One number is twenty more than eight times another number. The sum of the
numbers is eleven. Find the two numbers.

Answers

Answer:

the two numbers are 12 and -1.

Step-by-step explanation:

Let the large number be represented by x and the smaller number by y.

So that;

x = 8y + 20 .................. 1

x + y = 11 ................... 2

From equation 2,

x = 11 - y .......... 3

Substitute equation 3 into equation 1 to have,

11 - y = 8y + 20

11 - 20 = 8y + y

-9 = 9y

divide through by 9 to have,

y = -1

Substitute the value of y in equation 3,

x = 11 - (-1)

  = 11 + 1

  = 12

x = 12

x = 12, y = -1

The two numbers are 12 and -1.

I need help with this math question

Answers

answer:

i think it’s 60%

explanation:

117/195=?/100

i multiplied 117 by 100 and got 11,700. Then, I divided 11,700 by 195 and got 60.

hoped this helped.

Please help, I have no clue how to answer this.

Answers

Answer:

74-2c

Step-by-step explanation:

you know that craig's age is c. You multiply c by two, which is twice craig's age. Then you subtract that from c.

can someone explain because im confused

Answers

Answer:

I'm pretty sure it is yes

Step-by-step explanation:

7/1=7. 14/2=7. 21/3=7. 28/4=7. 35/5=7.

What fraction of an hour is 51 minutes?
Give your answer in its simplest form.

Answers

Answer:

0.850

Step-by-step explanation:

fraction = given time / total time in 1 hour

=51/60

The answer is: 0.850

if im a bot, then, what are you?-

Answers

A hallucination;))))))

A company that makes hair care products have 6000 people China Chef poop of the 6000 people 48 had a mild allergic reaction..what is the percent of the people that had an allergic reaction

Answers

Answer:

5952

Step-by-step explanation:

6000

What’s 5,700 divided by 70

Answers

ur answer is 81.42857142857143
Have a good day hope this helps! :)

Answer:

81.4285714286

Step-by-step explanation:

Can someone plz help with this, this is one question, the choices for the first option are; coin, quartered spinner, number cube, or two coins. The choices for the second option are; 5, 4, 20, or 3. And the choices for the last option are; 1/5, 3/16, 3/256, or 1/256, plz help!!!

Answers

Answer:

Number cube, 5, and 3/16

What percentage of the shape is purple?
Write your answer using a percent sign (%).

Answers

First, we see a rectangle shape with little squares in it. The length is 5 and the width is 4. If we multiply them, we get 20 square units. However, we will use the 20 to solve the question. Also, we see that there are only 3 squares.

3/20

Let's divide the fraction. 3 / 20 is 0.15. We result with 0.15. Now, we multiply  the decimal by 100 to get a percent; we are converting from decimal to percent. As a result, we get 15% as our answer.

3/20 = 0.15 x 100 = 15%

Brianna created a scatter plot and drew a line of best fit, as shown.
What is the equation of the line of best fit that Brianna drew?

A. y=1/2x+5
B. y=1/2x+7
C. y=2x+5
D. y=2x+7​

Answers

Answer: C.) y = 2x + 5

Answer:

The correct answer is C. y = 2x + 5

Step-by-step explanation:

I got it right. Hope this helps.

What percentage of the shape is green?
Write your answer using a percent sign (%).
(ASAP)

Answers

Answer:

52% of the shape is green

Step-by-step explanation:

13 out of 25 blocks are shaded green = 13/25

13/25 = 52%

What is the sum (2/5x + 5/8) + (1/5x - 1/4)? a. 3/5 x + 1/8 b. 3/5 x + 3/8 c. 3/5x + 5/8 d. 3/5x + 7/8​

Answers

Answer:

3/5x + 3/8

Step-by-step explanation:

2/5x + 5/8 + 1/5x - 1/4

1. Combine like terms so now u have

3/5x + 3/8

In case you want to know how I got 3/8

You want a common denominator so

from  5/8 + 1/4, make both denominator 8

so 1 *2/ 4* 2

so now you converted the 1/4 to 2/8

So then 5/8 - 2/8 gives u 3/8 and that's how i got 3/8

Hope this helped!

Answer:

3/5x + 3/8

Step-by-step explanation:

HELP PLS I WILL MARK BRAINLIST IF CORRECT !!
-
1. 9 6/8 = n + 2 1/8

-
2. x — 2/9 = 6 5/9
-
3. y + 1/4 = 6 11/12
pls help me i dont understand any of this.

Answers

1. X= 61/8

2. X= 61/9

3. Y= 20/3

What is the solution to −6x−4≥−2(x−4) ?

x≤−3

x≥3

x≥2

x≤−1

Answers

Answer:

The correct answer is: Option 1: x≤-3

Step-by-step explanation:

Given inequality is:

[tex]-6x-4\geq -2(x-4)[/tex]

First of all, we will distribute -2 into the bracket

[tex]-6x-4\geq -2x+8[/tex]

Then we will add 4 on both sides

[tex]-6x-4+4\geq -2x+8+4\\-6x \geq -2x+12[/tex]

Adding 2x on both sides

[tex]-6x+2x\geq -2x+12+2x\\-4x\geq 12[/tex]

Dividing both sides by 4

[tex]\frac{-4x}{4} \geq \frac{12}{4}\\-x \geq 3[/tex]

As there should be only x on the left side of the inequality we will multiply the inequality with -1.

Multiplying the inequality with -1 reverses the sign of inequality

So,

[tex]x \leq -3[/tex]

Hence,

The correct answer is: Option 1: x≤-3

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