Two rival dry cleaners both advertise their prices. Store A's prices are modeled by the expression , where x is the number of items brought in. Store B's prices are modeled by the expression , where x is the number of items brought in. When do the two stores charge the same rate?

Here is the full question

Two rival dry cleaners both advertise their prices. Store A's prices are modelled by the expression (15x -2), where x is the number of items brought in. Store B's prices are modelled by the expression 3(5x+7) , where x is the number of items brought in. When do the two stores charge the same rate?

The two stores cannot charge at the same rate.

Step-by-step explanation:

From the information given above:

Two rival dry cleaners both advertise their prices.

Store A's prices are modelled by the expression (15x -2)

Store B's prices are modelled by the expression 3(5x+7)

The objective is to determine the period at which the two stores charges at the same rate;

To do that, we need to equate the expression in store A and B

i.e.

15x - 2 = 3(5x + 7)

Open brackets

15x - 2 = 15x + 21

Deduce both sides by - 15x

- 2 = 21

Therefore; since the value of x cannot be estimated, then the two stores cannot charge at the same rate.

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