Applications

Problem 3

Answer 3

Step 1. Define the variables.

y = amount of money in Nadia's savings account
x = number of hours

Step 2. Determine the y-intercept and slope.

Nadia has $200 in her savings account, so b = 200.

She has a job that pays $7.50 per hour, so m = 7.50.

Step 3. Determine the function rule using the slope-intercept form.

y = 7.5x + 200

Step 4. Substitute and solve to determine the number of hours Nadia needs to work to earn $500.

500 = 7.5x + 200
7.5x = 300
x = 40

Nadia needs to work 40 hours to earn $500.