Question

The table below shows a pattern in the cost of renting a car based on the number of days rented. Car Rentals Number of Days (d) Cost in Dollars (c) 4 161 5 195 6 229 7 263 The pattern continues. Which equation describes the pattern in the cost of renting a car? A. c = 68d + 25 B. c = 34d + 127 C. c = 68d + 43 D. c = 34d + 25

Answer 1

The linear equation that describes the pattern in the cost of renting a car is given by:

• D. c = 34d + 25

What is a linear function?

A linear function is modeled by:

$y(x) = mx + b$

In which:

• m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

• b is the y-intercept, which is the value of y when x = 0.

In this problem:

• For each day, the cost of renting a car increases by 34, hence, the slope is of 34, and the equation is:

$c(d) = 34d + b$

When d = 4, c = 161, and this is used to find b.

$c(d) = 34d + b$

$161 = 34(4) + b$

$b = 25$

Hence, the equation is c = 34d + 25, and option D is correct.

You can learn more about linear functions at brainly.com/question/25823744