A State Park charges $5 per car plus $1 per person as an admission fee. The total charged for a car with x people is f(x) = x + 5. How will the graph of this function change if the per car charge is changed to $8 per car?

The line will shift vertically down by $3.
The line will shift vertically up by $3.
The line will shift vertically up by $8.
The line will shift vertically down by $8.
@Directrix
@Mesopretty

Question

A State Park charges $5 per car plus $1 per person as an admission fee. The total charged for a car with x people is f(x) = x + 5. How will the graph of this function change if the per car charge is changed to $8 per car?
 
The line will shift vertically down by $3. 
The line will shift vertically up by $3. 
The line will shift vertically up by $8. 
The line will shift vertically down by $8.
@Directrix 
@Mesopretty

directrix · Answer

Hold on a second and let me think.

anonymous · Answer

ok

directrix · Answer

The lines y = x + 5 and y = x + 8 are parallel because they have the same slope.

To see what's going on, look at the y-intercepts. With the increase, the y-intercept jumped upward (vertical) $3 from what it was.

directrix · Answer

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