Question

Question 2 of 15. Step 1 of 1

Correct
A local amusement park found that if the price of admission was $19, the attendance was about 1600 customers per week. When the price of admission was dropped
to S11, attendance increased to about 2150 per week. Write a linear equation for the attendance in terms of the price,p. (A = mp+b)

Answer 1

9514 1404 393

Answer:

A = -68.75p +2906.25

Explanation:

We can solve for m and b using the given values of A and p.

1600 = m·19 +b

2150 = m·11 +b

Subtracting the second equation from the first, we have ...

-550 = 8m

m = -550/8 = -68.75

Substituting this into the first equation gives ...

1600 = 19·(-68.75) +b

b = 1600 +1306.25 = 2906.25

The desired linear equation is ...

A = -68.75p +2906.25

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Additional comment

Revenue will be maximized at the price that cuts attendance to half the value when the price is 0, about $21.14.