Question

A hockey team is selling coupon books as a fundraiser. The table shows how the number of coupon books they can expect to sell depends on x, the price of each coupon book.



Which equation describes the relationship between the total number of dollars in coupon book sales, y, and the price per coupon book, x?

(1 point)
Responses

y=−2x2+84x

y is equal to negative 2 x squared plus 84 x

y=−2x2+160x

y is equal to negative 2 x squared plus 160 x

y=−2x2+120x

y is equal to negative 2 x squared plus 120 x

y=−2x2+100x

y is equal to negative 2 x squared plus 100 x
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Answer 1

I don’t see the table in your message — I need one table value (or the intercept) to pick the correct constant. The revenue is always

y = x * (number sold) = x(-2x + b) = −2x^2 + b x,

where b is how many books they would sell if the price were $0 (or you can find b from any one table point: if at price x0 they sell s0, then s0 = −2x0 + b so b = s0 + 2x0).

If you share a table entry (for example: at price x = 10 they sell 100), I’ll pick the right answer. (If the table shows that at x = 10 they sell 100, then b = 120 and the correct equation is y = −2x^2 + 120x.)