Question

The function y=−2(x−3)+4 shows the daily profit (in hundreds of dollars) of a hot dog stand, where x is the price of a hot dog (in dollars). Find and interpret the zeros of this function.

Select two answers: one for the zeros and one for the interpretation.

Answer 1

The zeros of the function y = -2(x-3) + 4 are x = 5. When the price of a hot dog is $5, the daily profit of the hot dog stand will be zero.

Step-by-step explanation:

The zeros of the function y = -2(x-3) + 4 can be found by setting y equal to zero and solving for x:

0 = -2(x-3) + 4

0 = -2x + 6 + 4

0 = -2x + 10

2x = 10

x = 5

So, the zero of this function is x = 5.

To interpret this, we can say that when the price of a hot dog is $5, the daily profit of the hot dog stand will be zero.