An artist sells customized prints online. The total price, y, in dollars, for an order of … — SAT

An artist sells customized prints online. The total price, $y$ , in dollars, for an order of $x$ prints is given by the equation $y = 8.50x + 4.00$ , where $4.00$ represents a flat shipping fee. If a customer's total order price is $38.00$ , how many prints did the customer order?

Answer: 4

Answer

Substituting

38.00

for

y

in the given linear equation

y = 8.50x + 4.00

yields

38.00 = 8.50x + 4.00

. Subtracting

4.00

from both sides of the equation results in

34.00 = 8.50x

. Dividing both sides of the equation by

8.50

yields

x = 4

. Therefore, the customer ordered 4 prints.

Step-by-Step Solution

Substitute the given total price of

38.00

for

y

in the equation.

38.00 = 8.50x + 4.00

The variable

y

represents the total price of the order in dollars, which is given as

38.00

Subtract the shipping fee of

4.00

from both sides of the equation.

34.00 = 8.50x

Subtracting

4.00

from both sides isolates the variable term

8.50x

Divide both sides of the equation by

8.50

x = 4

Dividing the remaining cost of

34.00

by the unit price per print of

8.50

yields the total number of prints ordered.

Key Concept

Solving a linear equation in two variables for one variable when the value of the other variable is given.

Estimated Time:45s

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