Each person who enters a store receives a $5 off coupon. In the equation y = 5x, y is the total value of the coupons given out by the store, and x is the number of people receiving the coupons.

Wen says the function is continuous, because the number of people is unlimited. Is Wen right or wrong? Explain.

Question

Each person who enters a store receives a $5 off coupon. In the equation y = 5x, y is the total value of the coupons given out by the store, and x is the number of people receiving the coupons.

Wen says the function is continuous, because the number of people is unlimited. Is Wen right or wrong? Explain.

Mercury · Answer

thoughts about this one?

remember that continuous functions can take on *any* value (including non-integers, irrational numbers, etc.) in a function. can the x (the number of people) take on any possible value in the domain? can x, in this case, be a non-integer?