Question

Two rival dry cleaners both advertise their prices. Let x equal the number of items dry cleaned. Store A's prices are represented by the expression 15x-2. Store B's prices are represented by the expression 3(5x+7). When do the two stores change at the same rate? Explain.

Answer 1

The two stores change at the same rate when x = 5 and the price is $73.

Step-by-step explanation:

The independent variable in this situation is the number of items dry cleaned, represented by x. The dependent variable is the price of dry cleaning. For Store A, the price is represented by the equation 15x - 2. For Store B, the price is represented by the equation 3(5x + 7).

To determine when the two stores change at the same rate, we need to find the point at which the two equations are equal. Set the two equations equal to each other: 15x - 2 = 3(5x + 7). Simplify the equation and solve for x. After finding the value of x, substitute it back into either equation to find the price at that point. This will give you the time at which the two stores change at the same rate.