Question

Bonnie spent $32.78 on gas last week for her truck. She was able to purchase 9.8 gallons. Today, she spent $35.45 on gas for a total of 10.3 gallons. What is the difference in the cost from last week to this week?(1 point) Responses Gas is 10 cents per gallon cheaper this week. Gas is 10 cents per gallon cheaper this week. Gas was 9 cents per gallon cheaper last week. Gas was 9 cents per gallon cheaper last week. Gas is 9 cents per gallon cheaper this week. Gas is 9 cents per gallon cheaper this week. Gas was 10 cents per gallon cheaper last week.

Answer 1

To find the cost per gallon of gas for both periods, we need to divide the total cost by the total gallons purchased.

Last week:

• Total cost = $32.78
• Gallons = 9.8 gallons
• Cost per gallon = \( \frac{32.78}{9.8} \)

Calculating this gives: \[ \frac{32.78}{9.8} \approx 3.34 \text{ (rounded to two decimal places)} \]

This week:

• Total cost = $35.45
• Gallons = 10.3 gallons
• Cost per gallon = \( \frac{35.45}{10.3} \)

Calculating this gives: \[ \frac{35.45}{10.3} \approx 3.44 \text{ (rounded to two decimal places)} \]

Now we find the price difference:

• Last week's cost per gallon: $3.34
• This week's cost per gallon: $3.44

The difference is: \[ 3.44 - 3.34 = 0.10 \]

Thus, gas is 10 cents more per gallon this week compared to last week.

The correct response is: Gas is 10 cents per gallon more this week.