Question

Catherine saved some money and plans to add the same amount each week to her savings account. The table represents the number of weeks that she will save, x, and the total amount of money that she will have in her account, y.


Weeks, x
Dollars in account, y
4
74
6
86
9
104
11
116

Which linear equation represents Catherine’s situation?
y = one-sixth x + 70
y = 6 x + 50
y = StartFraction 1 Over 9 EndFraction x + 104
y = 11 x + 116

Answer 1

Find the slope: (86−74)/(6−4)=12/2=6, so she adds $6 per week.
Use a point to find intercept: 74 = 6(4) + b → b = 50.
Equation: y = 6x + 50.