Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

A rental car company charges $50 plus 45 cents for each mile driven.
Part1. Find an equation that could be used to model the total cost, C, of the rental where
m represents the miles driven.
C = ◻
Part 2. The total cost of driving 325 miles is;
$ = ◻

A rental car company charges $\$ 50$ plus $45$ cents for each mile driven. $\newline$ Part $1$ . Find an equation that could be used to model the total cost, $\mathrm{C}$ , of the rental where $m$ represents the miles driven. $\newline$ $C = \square$ $\newline$ Part $2$ . The total cost of driving $325$ miles is; $\newline$ $\$ \square$

View step-by-step help

View step-by-step help

Write a linear function: word problems

Full solution

Q. A rental car company charges

\$ 50

plus

45

cents for each mile driven.

\newline

Part

1

. Find an equation that could be used to model the total cost,

\mathrm{C}

, of the rental where

m

represents the miles driven.

\newline

C = \square

\newline

Part

2

. The total cost of driving

325

miles is;

\newline

\$ \square

Base Charge: The base charge is $\$50$ , no matter how many miles are driven.
Charge per Mile: The charge per mile is $45$ cents, or $\$0.45$ .
Total Cost Model: The total cost $C$ can be modeled by the equation $C = \text{base charge} + (\text{charge per mile} \times \text{number of miles})$ .
Cost Calculation: So the equation is $C = 50 + 0.45m$ , where $m$ is the number of miles driven.
Plug in Miles: Now we need to calculate the total cost for driving $325$ miles.
Calculate Mile Cost: Plug $325$ into the equation for $m$ : $C = 50 + 0.45(325)$ .
Add Base Charge: Calculate the cost for the miles: $\(0\).\(45\) \times \(325\) = \$(\(146\).\(25\)).
Add Base Charge: Calculate the cost for the miles: \(0.45 \times 325 = \$(146.25)\). Add the base charge to the cost for miles: \(\$50 + \$(146.25) = \$(196.25)\).

More problems from Write a linear function: word problems

Question

This equation shows how the time required to screen-print a batch of shirts is related to the number of shirts in the batch.

\newline

t = s + 13

\newline

s

represents the number of shirts in the batch, and the variable

t

represents the time required to screen-print the shirts. How long does it take to screen-print a batch of

4

\newline

_________minutes

Posted 11 months ago

Question

Krysta wants to take piano lessons. She asked a teacher how many new pieces she could expect to learn each month. The teacher gave an estimate of

3

. Write an equation that shows how the total number of pieces Krysta would learn,

y

, depends on the number of months of piano lessons,

x

\newline

y

Posted 11 months ago

Question

Tom bought a boat for

\$3,000

and incurs a daily storage fee of

\$15

. Write a linear function to represent the total amount Tom will owe,

p(x)

x

days to pick it up.

\newline

Posted 1 year ago

Question

180

-page book cover to cover in a single session, at a constant rate. It took him

6

\newline

\newline

y

represent the number of pages left to read after

\newline

t

\newline

Which of the following information about the graph of the relationship is given?

\newline

1

\newline

\newline

x

\newline

\newline

y

\newline

(C) Slope and a point that is not an intercept

\newline

\newline

x

\newline

y

\newline

\newline

y

-intercept and a point that is not an intercept

\newline

(F) Two points that are not intercepts

Posted 1 year ago

Question

A charity organization had to sell

18

tickets to their fundraiser just to cover necessary production costs. They sold each ticket for

\$45

y

represent the net profit (in dollars) when they have sold

x

tickets. Which of the following information about the graph of the relationship is given?

\newline

1

\newline

x

\newline

y

\newline

(C) Slope and a point that is not an intercept

\newline

x

y

\newline

y

-intercept and a point that is not an intercept

\newline

(F) Two points that are not intercepts

Posted 10 months ago

Question

Hiro painted his room. After

3

hours of painting at a rate of

8

square meters per hour, he had

28

square meters left to paint.

\newline

\newline

y

represent the area (in square meters) left to paint after

\newline

x

\newline

Which of the following information about the graph of the relationship is given?

\newline

1

\newline

\newline

x

\newline

\newline

y

\newline

(C) Slope and a point that is not an intercept

\newline

\newline

x

\newline

y

\newline

\newline

y

-intercept and a point that is not an intercept

\newline

(F) Two points that are not intercepts

Posted 10 months ago

Question

Naoya read a book cover to cover in a single session, at a rate of

55

pages per hour. After

4

350

pages left to read.

\newline

y

represent the number of pages left to read after

x

\newline

Complete the equation for the relationship between the number of pages left and number of hours.

\newline

y=

Posted 10 months ago

Question

A teacher purchased

300

colored pencils for an upcoming project. The pencils she ordered come in packs of

20

30

14

packs in all. Write a system of equations to find the number of

20

(x)

30

(y)

the art teacher ordered.

Posted 11 months ago

Question

C=0.25(L-1200)

\newline

C

, in dollars, to the holder of a liability insurance account given a total liability of

L

dollars is given by the equation as long as

C

is positive. By how many dollars does the liability increase when the cost to the holder increases by

1

Posted 10 months ago

Question

P=\frac{2}{5} m+1.5

\newline

P

, in dollars, of a train ticket used to travel a distance of

m

miles is given by the equation. By how many miles does the traveling distance increase if the ticket price increases by

1

Posted 4 months ago

Related topics

Algebra - Order of Operations Algebra - Distributive Property `X` and `Y` Axes Geometry - Scalene Triangle Common Multiple Geometry - Quadrant