Solve the problem.

Jared's car normally gets fuel mileage of 44mpg but on a recent trip a headwind reduced his mileage by 17%. What was his car's mileage on that recent trip?

Question

Solve the problem.

Jared's car normally gets fuel mileage of 44mpg but on a recent trip a headwind reduced his mileage by 17%. What was his car's mileage on that recent trip?

BlackTom AI · Accepted Answer

We start by identifying the given information and the relationship we need to apply. Jared's normal mileage is 44 mpg, and the headwind reduces this by 17%. To find the mileage on the trip, we multiply by the remaining percentage: 44 × (1 − 0.17).
Option 1: 7.5 mpg. This value is far too low and would imply an enormous drop (over 80%), which does not align with a 17% reduction. It would require multiplying by about 0.17, not 0.83.
Option 2: 61 mpg. This would require an increase in mileage rather than a decrease, contradicting the stated headwind effect. It doesn’t reflect a reduction at all.
Option 3: 36.5 mpg. This matches the calculation 44 × 0.83 = 36.52, which rounds to 36.5 mpg. It correctly implements a 17% decrease from the original 44 mpg.
Option 4: 44 mpg. This would indicate no change from normal mileage, ignoring the specified headwind impact. It represents no reduction, which contradicts the problem’s setup.
In summary, only the option that applies a 17% reduction to the original mileage yields a plausible trip mileage, namely 36.5 mpg after rounding. The others fail to reflect the described change in efficiency.

MATH1010W03 MA1010 Test 2 - April 28 2025- Requires Respondus LockDown Browser

Solve the problem. Jared's car normally gets fuel mileage of 44mpg but on a recent trip a headwind reduced his mileage by 17%. What was his car's mileage on that recent trip?

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MATH*1010*W03 MA1010 Test 2 - April 28 2025- Requires Respondus LockDown Browser