Question

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Answer 1

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