Question

Group 4: A drive in movie charges $15 per car, plus $2 per person as an

admission fee. The total charged for a car with x people is m(x) = 2x + 15.
How will the graph of this function change if the per car charge is changed
to $20 per car?
O
The line will shift vertically down by $5.
O The line will shift vertically up by $5.
O The line will shift horizontally left by $5.
O The line will shift horizontally right by $5.

Answer 1

The graph of the function will shift vertically up by $5.

Explanation:

The original function is m(x) = 2x + 15, where x is the number of people in the car. If the per car charge is changed to $20 per car, the new function becomes m(x) = 2x + 20, because the charge per car has increased by $5.

This means that the y-intercept of the new function is 20 instead of 15, which represents the minimum cost for a car, regardless of the number of people inside. So the graph of the new function will be shifted vertically up by $5 from the graph of the original function.

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