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.

Question

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

Answer 1

Wen is wrong. The function $y=5x$ depends on $x$, which represents the number of people receiving coupons. Since $x$ must be a whole number (you can't have a fraction of a person), the function is not continuous; it is actually a discrete function, as it only takes on values at specific integer points.