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.