Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

Energy cost for a Car The cost of the electricity needed todrive an all-electric car is about 4 cents per mile. The cost ofthe gasoline needed to drive the average gasoline-poweredcar is about 12 cents per mile.(a) Find a formula that models the energy cost $C$ of driving$x$ miles for (i) the all-electric car and (ii) the averagegasoline-powered car.(b) Find the cost of driving $10,000$ mi with each type of car.

a) The formula that models the conditions for the all-electric car is $C=$ 0.04$x$ and the formula that models the conditions for the gasoline-powered car is $C=0.12 x .$b) $\begin{aligned} C &=0.04(10,000) \\ &=400 \text { dollars. } \end{aligned}$c) $\begin{aligned} C &=0.12(10,000) \\ &=1,200 \text { dollars. } \end{aligned}$

Algebra

Chapter 0

Prerequisites

Section 1

Modeling the Real World with Algebra

Equations and Inequalities

Missouri State University

Campbell University

McMaster University

Lectures

01:32

In mathematics, the absolu…

01:11

01:49

Use the following tables.<…

04:34

A proposed electric vehicl…

01:59

A projected electric vehic…

05:47

(a) If an electric car is …

03:39

Automotive Power. It is no…

01:24

An all-electric car (not a…

02:31

The fuel efficiency $F$ (i…

00:28

Cost of Driving a Car The …

02:40

Electric Car An automaker …

01:46

The Honda Civic Hybrid veh…

04:12

Fuel Economy Suppose you d…

04:08

Gas mileage Starting with …

02:57

An electric car is designe…

05:05

Electric Car Demand Growin…

04:48

Fuel cost $A$ car is drive…

Driving Cost It is estimat…

03:54

03:25

Concern hybrid cars such a…

02:18

CARS Car model A costs $\$…

All right. So for the electric car, I'll just write an E years we have this whole organized, Um, the cost see is going to depend on how many miles we drive. The miles are ex, and we know that every mile costs four cents over since each mile is four cents will multiply X by 40.4 and that will give us a total amount of dollars. That's we'll have to pay. And remember that when we first started driving, we haven't paid anything. So the Y intercept or the initial amount of zero so we can just right plus zero. But this is a necessary correct. Likewise, this exact same type of thinking for the car that uses gasoline. So see here is going thio depend on X once again, the number of miles we drove, but this time it's gonna cost 12 cents. Right And again, the wind reset to zero. But this time we won't write it. All right, so now for a part to be we're going Thio, find the cost of driving 10,000 miles off each car. So we're going to say that see here equals 10,000 miles. So you're right 10,000 two, three times 0.0 four. And we know that this will equal. So we have 1231234 zeros. So we're gonna jump 1231234 So that's gonna be for $100 and exactly the same steps here. Siegel. 10,000. Time's important. One, two. All right, seriously. 1231234 Again. 1231234 So this is gonna cost 1000 two $100. All right, Thank you.

View More Answers From This Book

Find Another Textbook

Numerade Educator

Oregon State University

In mathematics, the absolute value or modulus |x| of a real number x is its …

Use the following tables.The following table gives fuel and electric req…

A proposed electric vehicle makes use of storage batteries as its source of …

A projected electric vehicle makes use of storage batteries as its source of…

(a) If an electric car is capable of going 225 $\mathrm{km}$ on a single cha…

Automotive Power. It is not unusual for a $1000-\mathrm{kg}$ car to get 30 $…

An all-electric car (not a hybrid) is designed to run from a bank of $12.0-\…

The fuel efficiency $F$ (in miles per gallon) of a car is approximated by

Cost of Driving a Car The annual fixed costs of owning a small sedan are $\$…

Electric Car An automaker makes a car that can travel 40 mi on its charged b…

The Honda Civic Hybrid vehicle, powered by gasoline-electric technology, get…

Fuel Economy Suppose you drive an average of $15,000$ miles per year, and yo…

Gas mileage Starting with a full tank of gas, the distance traveled by a par…

An electric car is designed to run on a bank of batteries with a total poten…

Electric Car Demand Growing, Global Market Hits 740,000 Units Around the wor…

Fuel cost $A$ car is driven $15,000$ miles a year and gets$x$ miles per …

Driving Cost It is estimated that the annual cost of driving a certain new c…

Concern hybrid cars such as the Toyota Prius that are powered by a gas-engin…

CARS Car model A costs $\$ 22,000$ to purchase and $\$ .12$ per mile to main…

06:29

$9-10=$ Real Numbers List the elements of the given set that are$$\begin…

Express the set of real numbers between but not including 2and 7 as foll…

02:27

00:56

Properties of Real Numbers State the property of realnumbers being used.…

Making Models : Write an algebraic formula that models the given quantity.

01:21

04:57

$\begin{array}{l}{\text { Renting a Car At a certain car rental agency a com…

01:38

$3-12=$ Using Models Use the model given to answer the questions about the o…

07:20

Using Models Use the model given to answer the questions about the object or…

01:04