QuestionTodd used 3 gallons for 150 miles. Find the rate of change in gallons per mile: slope = $\frac{150 \text{ miles}}{3 \text{ gallons}}$ .

Studdy Solution

STEP 1

Assumptions1. Todd initially had6 gallons of gasoline in his motorbike. . After driving150 miles, he had3 gallons left.
3. The rate of change is calculated as miles per gallon.

STEP 2

First, we need to find out how many gallons of gasoline were used. We can do this by subtracting the final amount of gasoline from the initial amount.
$Gasoline\, used = Initial\, gasoline - Final\, gasoline$

STEP 3

Now, plug in the given values for the initial and final amount of gasoline to calculate the gasoline used.
$Gasoline\, used =6\, gallons -3\, gallons$

STEP 4

Calculate the amount of gasoline used.
$Gasoline\, used =6\, gallons -3\, gallons =3\, gallons$

STEP 5

Now that we have the amount of gasoline used, we can find the rate of change, or slope, in the amount of gasoline. This is calculated as the distance driven divided by the amount of gasoline used.
$Rate\, of\, change = Distance\, driven / Gasoline\, used$

STEP 6

Plug in the values for the distance driven and the gasoline used to calculate the rate of change.
$Rate\, of\, change =150\, miles /3\, gallons$

STEP 7

Calculate the rate of change.
$Rate\, of\, change =150\, miles /3\, gallons =50\, miles/gallon$ The rate of change, or slope, in the amount of gasoline is50 miles per gallon.

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QuestionTodd used 3 gallons for 150 miles. Find the rate of change in gallons per mile: slope = $\frac{150 \text{ miles}}{3 \text{ gallons}}$ .

Studdy Solution

STEP 1

Assumptions1. Todd initially had6 gallons of gasoline in his motorbike. . After driving150 miles, he had3 gallons left.
3. The rate of change is calculated as miles per gallon.

STEP 2

First, we need to find out how many gallons of gasoline were used. We can do this by subtracting the final amount of gasoline from the initial amount.
$Gasoline\, used = Initial\, gasoline - Final\, gasoline$

STEP 3

Now, plug in the given values for the initial and final amount of gasoline to calculate the gasoline used.
$Gasoline\, used =6\, gallons -3\, gallons$

STEP 4

Calculate the amount of gasoline used.
$Gasoline\, used =6\, gallons -3\, gallons =3\, gallons$

STEP 5

Now that we have the amount of gasoline used, we can find the rate of change, or slope, in the amount of gasoline. This is calculated as the distance driven divided by the amount of gasoline used.
$Rate\, of\, change = Distance\, driven / Gasoline\, used$

STEP 6

Plug in the values for the distance driven and the gasoline used to calculate the rate of change.
$Rate\, of\, change =150\, miles /3\, gallons$

STEP 7

Calculate the rate of change.
$Rate\, of\, change =150\, miles /3\, gallons =50\, miles/gallon$ The rate of change, or slope, in the amount of gasoline is50 miles per gallon.

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QuestionTodd used 3 gallons for 150 miles. Find the rate of change in gallons per mile: slope = 150 miles3 gallons\frac{150 \text{ miles}}{3 \text{ gallons}}3 gallons150 miles​.

Studdy Solution

STEP 1

Assumptions1. Todd initially had6 gallons of gasoline in his motorbike. . After driving150 miles, he had3 gallons left.3. The rate of change is calculated as miles per gallon.

STEP 2

First, we need to find out how many gallons of gasoline were used. We can do this by subtracting the final amount of gasoline from the initial amount.Gasoline used=Initial gasoline−Final gasolineGasoline\, used = Initial\, gasoline - Final\, gasolineGasolineused=Initialgasoline−Finalgasoline

STEP 3

Now, plug in the given values for the initial and final amount of gasoline to calculate the gasoline used.Gasoline used=6 gallons−3 gallonsGasoline\, used =6\, gallons -3\, gallonsGasolineused=6gallons−3gallons

STEP 4

Calculate the amount of gasoline used.Gasoline used=6 gallons−3 gallons=3 gallonsGasoline\, used =6\, gallons -3\, gallons =3\, gallonsGasolineused=6gallons−3gallons=3gallons

STEP 5

STEP 6

Plug in the values for the distance driven and the gasoline used to calculate the rate of change.Rate of change=150 miles/3 gallonsRate\, of\, change =150\, miles /3\, gallonsRateofchange=150miles/3gallons

STEP 7

Calculate the rate of change.Rate of change=150 miles/3 gallons=50 miles/gallonRate\, of\, change =150\, miles /3\, gallons =50\, miles/gallonRateofchange=150miles/3gallons=50miles/gallonThe rate of change, or slope, in the amount of gasoline is50 miles per gallon.

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QuestionTodd used 3 gallons for 150 miles. Find the rate of change in gallons per mile: slope = $\frac{150 \text{ miles}}{3 \text{ gallons}}$ .

Assumptions1. Todd initially had6 gallons of gasoline in his motorbike. . After driving150 miles, he had3 gallons left.
3. The rate of change is calculated as miles per gallon.

First, we need to find out how many gallons of gasoline were used. We can do this by subtracting the final amount of gasoline from the initial amount.
$Gasoline\, used = Initial\, gasoline - Final\, gasoline$

Now, plug in the given values for the initial and final amount of gasoline to calculate the gasoline used.
$Gasoline\, used =6\, gallons -3\, gallons$

Calculate the amount of gasoline used.
$Gasoline\, used =6\, gallons -3\, gallons =3\, gallons$

Plug in the values for the distance driven and the gasoline used to calculate the rate of change.
$Rate\, of\, change =150\, miles /3\, gallons$

Calculate the rate of change.
$Rate\, of\, change =150\, miles /3\, gallons =50\, miles/gallon$ The rate of change, or slope, in the amount of gasoline is50 miles per gallon.