Question
3 The equation \( m=40 g \) gives the distance in miles, \( m \), that a car can travel using \( g \) gallons of gas. (a) If the car has gone 140 miles, how much gas was used? gallons
Ask by Murphy Owen. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The car used 3.5 gallons of gas to travel 140 miles.
Solution
To determine how much gas was used when the car has traveled 140 miles, you can use the given equation:
\[
m = 40g
\]
where:
- \( m \) is the distance traveled in miles.
- \( g \) is the gallons of gas used.
Given:
\[
m = 140 \text{ miles}
\]
**Step 1: Plug the known value into the equation**
\[
140 = 40g
\]
**Step 2: Solve for \( g \)**
\[
g = \frac{140}{40}
\]
\[
g = 3.5
\]
**Answer:**
The car used **3.5 gallons** of gas to travel 140 miles.
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Beyond the Answer
To find out how much gas was used, you can rearrange the equation \( m = 40g \) to solve for \( g \). Plugging in the value of \( m = 140 \) miles gives you: \[ 140 = 40g \] Dividing both sides by 40: \[ g = \frac{140}{40} = 3.5 \] So, the car used **3.5 gallons** of gas. Now, isn't it interesting how fuel efficiency can change based on driving conditions and the vehicle's make? Many drivers overlook that factors like rapid acceleration or heavy cargo can dramatically affect how many miles per gallon they get!
