Sunia is looking to join a new gym and is analyzing how much money it will cost her to be a member. The gym has a one-time startup fee of $20 and costs $60 per month to maintain membership. From this information, Sunia develops the equation y=60x+20 to represent the total cost, y of being a member for x months.
PART A
Complete the table to find six solutions to Sunia's equation.
months=x total cost=y
(0,?)
(1,?)
(2,?)
(3,?)
(4,?)
(5,?)
To find the total cost, y, for each number of months, x, we can substitute the values of x into the equation y = 60x + 20.
For (0, ?):
y = 60(0) + 20
y = 0 + 20
y = 20
For (1, ?):
y = 60(1) + 20
y = 60 + 20
y = 80
For (2, ?):
y = 60(2) + 20
y = 120 + 20
y = 140
For (3, ?):
y = 60(3) + 20
y = 180 + 20
y = 200
For (4, ?):
y = 60(4) + 20
y = 240 + 20
y = 260
For (5, ?):
y = 60(5) + 20
y = 300 + 20
y = 320
The completed table is as follows:
months=x total cost=y
(0, 20)
(1, 80)
(2, 140)
(3, 200)
(4, 260)
(5, 320)