Question

Bill’s car gets 30 miles to the gallon. For every gallon of gas it consumes, his car runs 30 miles. Use this information to determine whether this relation is a function.

Write the equation for the number of miles Bill travels, y, in terms of how much gas it uses, x

Answer 1

Part a: Bill’s car travels 30 miles per gallon of gas. If y represents the number of miles the car travels on x gallons of gas, the equation that represents this situation is y = 30x.

Part b: gallons of gas (x) miles (y)

1 30

2 60

3 90

Part c: There is no x-value that would lead to multiple y-values.

Part d: Yes, y = 30x is a function, because for every input, or x-value, there is only one output, or y-value.

Explanation:

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Answer 2

It is a function.

Explanation:

Examples:

y5 = x5

y6 = x6