51.0k views
3 votes
By your cell phone contract, you pay a monthly fee plus some money for each minute you use the phone during the month. In one month, you spent 280 280 minutes on the phone, and paid $30.20 $ 30.20 . In another month, you spent 310 310 minutes on the phone, and paid $32.15 $ 32.15 . Let x be the number of minutes you talk over the phone in a month, and let y be your cell phone bill for that month. Use a linear equation to model your monthly bill based on the number of minutes you talk over the phone.

1 Answer

2 votes

Answer:


y = 0.065x +12

Explanation:

Given


x \to minutes


y \to bill


(x_1,y_1) = (280,30.20)


(x_2,y_2) = (310,32.15)

Required

The linear function

Start by calculating the slope (m)


m = (y_2 - y_1)/(x_2 - x_1)

So, we have:


m = (32.15 - 30.20)/(310 - 280)


m = (1.95)/(30)


m = 0.065

The equation is then calculated as:


y = m(x - x_1) + y_1

Where:


(x_1,y_1) = (280,30.20)


m = 0.065

So, we have:


y = 0.065(x - 280) + 30.20


y = 0.065x - 18.2 + 30.20


y = 0.065x +12

User JPV
by
4.0k points