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. make the answer short

1 answer

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.