Math / Algebra

QuestionCW: $\mathbf{5 . 2}$ on ALEKS Time Remaining: 40:51 Question 8 of 10 (1 point) | Question Attempt: 1 of 1 $=1$ $\equiv 2$ $=3$ $\equiv 4$ $=5$ $\equiv 7$ 8 9 10
Alonzo is driving on a highway. He uses one gallon of gas every 25 miles he drives. The distance, $D$ (in miles), he travels on $g$ gallons of gas is given by the following function. $D(g)=25 g$
How far does Alonzo drive if he uses 2 gallons of gas?
50 miles

Studdy Solution

STEP 1

What is this asking? If Alonzo drives 25 miles for every gallon of gas, how many miles does he drive with 2 gallons? Watch out! Don't mix up the units, we're working with miles and gallons!

STEP 2

1. Set up the function
2. Calculate the distance

STEP 3

We're given the function $D(g) = 25 \cdot g$ , where $D(g)$ represents the total distance in miles and $g$ represents the number of gallons of gas used.
This tells us that for every gallon ( $g$ ) used, Alonzo drives 25 miles.

STEP 4

We want to find out how far Alonzo drives if he uses 2 gallons of gas.
So, we'll plug in $g = \textbf{2}$ into our function.

STEP 5

$D(\textbf{2}) = 25 \cdot \textbf{2}$

STEP 6

$D(\textbf{2}) = \textbf{50}$

STEP 7

So, Alonzo drives 50 miles using 2 gallons of gas.
Makes sense, since he drives 25 miles for each of the 2 gallons!

STEP 8

Alonzo drives 50 miles.

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Studdy Solution

STEP 1

What is this asking? If Alonzo drives 25 miles for every gallon of gas, how many miles does he drive with 2 gallons? Watch out! Don't mix up the units, we're working with miles and gallons!

STEP 2

1. Set up the function
2. Calculate the distance

STEP 3

We're given the function $D(g) = 25 \cdot g$ , where $D(g)$ represents the total distance in miles and $g$ represents the number of gallons of gas used.
This tells us that for every gallon ( $g$ ) used, Alonzo drives 25 miles.

STEP 4

We want to find out how far Alonzo drives if he uses 2 gallons of gas.
So, we'll plug in $g = \textbf{2}$ into our function.

STEP 5

$D(\textbf{2}) = 25 \cdot \textbf{2}$

STEP 6

$D(\textbf{2}) = \textbf{50}$

STEP 7

So, Alonzo drives 50 miles using 2 gallons of gas.
Makes sense, since he drives 25 miles for each of the 2 gallons!

STEP 8

Alonzo drives 50 miles.

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Studdy Solution

STEP 1

What is this asking? If Alonzo drives 25 miles for every gallon of gas, how many miles does he drive with 2 gallons? Watch out! Don't mix up the units, we're working with miles and gallons!

STEP 2

1. Set up the function2. Calculate the distance

STEP 3

We're given the function D(g)=25⋅gD(g) = 25 \cdot gD(g)=25⋅g, where D(g)D(g)D(g) represents the **total distance** in miles and ggg represents the **number of gallons** of gas used.This tells us that for every gallon (ggg) used, Alonzo drives 25 miles.

STEP 4

We want to find out how far Alonzo drives if he uses **2 gallons** of gas.So, we'll **plug in** g=2g = \textbf{2}g=2 into our function.

STEP 5

D(2)=25⋅2D(\textbf{2}) = 25 \cdot \textbf{2}D(2)=25⋅2

STEP 6

D(2)=50D(\textbf{2}) = \textbf{50}D(2)=50

STEP 7

So, Alonzo drives **50 miles** using 2 gallons of gas.Makes sense, since he drives 25 miles for *each* of the 2 gallons!

STEP 8

Alonzo drives **50 miles**.

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

1. Set up the function
2. Calculate the distance

We're given the function $D(g) = 25 \cdot g$ , where $D(g)$ represents the total distance in miles and $g$ represents the number of gallons of gas used.
This tells us that for every gallon ( $g$ ) used, Alonzo drives 25 miles.

We want to find out how far Alonzo drives if he uses 2 gallons of gas.
So, we'll plug in $g = \textbf{2}$ into our function.

$D(\textbf{2}) = 25 \cdot \textbf{2}$

$D(\textbf{2}) = \textbf{50}$

So, Alonzo drives 50 miles using 2 gallons of gas.
Makes sense, since he drives 25 miles for each of the 2 gallons!

Alonzo drives 50 miles.