By your cell phone contract, you pay a monthly fee plus some money for each minu
ID: 3041409 • Letter: B
Question
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 300 minutes on the phone, and paid $25.50. In another month, you spent 330 minutes on ther phone and paid $26.55
Let x be the number of minutes you talk over the phone in a month, and let y be your cell hpone bill for the month. Use a linear equation to model your monthly bill based on the number of minutes you talk over the phone
A) This linear model's slope-intercept equation is....
b) If you spent 200 minutes over the phone in a month, you would pay....
C) if in a month, you paid $29.70 of cell phone bill, you must have spent.... minutes on the phone in that month
Explanation / Answer
y = x*a+b
Where a is the bill per minute and b is the monthly fees
Equation 1
25.5 = 300a+b
Equation 2
26.55 = 330a+b
Equation 1 and 2
30a = 1.05
a = $0.035
b = $15
A)
y = 0.035*x+15
b)
y = 0.035*200+15 = $22
c)
y = 29.7
x= (29.7-15)/0.035
x = 420 minutes
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