Question

Mary having her living room and bedroom painted. Interior Designs USA charges $60.00 to evaluate the space plus $35.00 per hour of labor. Splash of Color charges $55.00 per hour with no initial fee. Which of the following are true? Select all that apply.

Answer 1

The cost of both companies would be same if it takes 3 hours to paint the house.

What is a linear equation?

A linear equation is in the form:

y = mx + b

Where y,x are variables, m is the rate of change and b is the y intercept.

Let y represent the total cost of decoration for x hours.

For Designs USA:

y = 35x + 60

For Splash of color:

y = 55x

For both cost to be the same:

35x + 60 = 55x

x = 3 hours

The cost of both companies would be same if it takes 3 hours to paint the house.

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