Answer:
y = 0.75x + 35
Step-by-step explanation:
x = number of minutes for a massage
y = total cure of pedicure and a massage
We can represent the information given as coordinate pais such as:
It would cost Angela $35 if she gets only pedicure => (0, 35)
This implies that she spends 0 minute (x) on massage, while total cost (y) is $35
If she spends 20 mins for massage, total cost would be $50 => (20, 50).
This implies she's spends 20 min (x) for massage, while total cost (y) would now be $50.
We can write an equation in slope intercept form, y = mx + b by finding the slope (m) and y-intercept (b).
✔️Using (0, 35) and (20, 50),
Slope (m) = change in y/change in x
m = (50 - 35)/(20 - 0) = 15/20
m = 0.75
The slope, m = 0.75 represents the cost of massage per minute ($0.75 per minute).
✔️The y-intercept (b) = 35, this is the initial cost without having a massage.
✅To write the equation in slope-intercept form, substitute m = 0.75 and b = 35 into y = mx + b.
Thus:
y = 0.75x + 35
