Question

You are the president of an interior design company. You pay a part-time designer $200 per week, plus $25 for each completed design. Write an equation to represent this situation. Use this equation to determine how many completed designs you can have per week if your weekly design budget is $800?

a. 30
b. 24
c. 26
d. 22

Answer 1

To express the situation using a linear equation, it would be y = 200 + 25x, where y is the total weekly design budget, and x is the number of completed designs. With a budget of $800, the company can afford 24 completed designs.

Step-by-step explanation:

The situation described in the question can be represented by a linear equation where the total weekly design budget is the dependent variable, and the number of completed designs is the independent variable. The equation to represent the part-time designer's pay can be given as:

y = 200 + 25x

where y is the total weekly design budget and x is the number of completed designs.

To determine how many completed designs can be afforded with a weekly budget of $800, we would set y to $800 and solve for x:

800 = 200 + 25x

600 = 25x

x = 24

Therefore, with a weekly design budget of $800, the company can afford 24 completed designs.