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 $60
per month to maintain membership. From this information, Sunia develops the equation y=60x+20
to represent the total cost, y
, of being a member for x
months.
PART A
Complete the table to find six solutions to Sunia's equation.
Months (x
) Total Cost (y
)
0
1
2
3
4
5
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$\text{Basic}$
Months (x) Total Cost (y)
0 $20
1 $80
2 $140
3 $200
4 $260
5 $320
To find the total cost for different numbers of months, we can substitute different values of x into the equation y = 60x + 20.
Let's complete the table using this equation:
Months (x) Total Cost (y)
0 60(0) + 20 = 20
1 60(1) + 20 = 80
2 60(2) + 20 = 140
3 60(3) + 20 = 200
4 60(4) + 20 = 260
5 60(5) + 20 = 320
So, the completed table would look like:
Months (x) Total Cost (y)
0 $20
1 $80
2 $140
3 $200
4 $260
5 $320
To find the total cost for six different months, we can substitute different values of x into Sunia's equation and solve for y.
Starting with 0 months (x=0):
y = 60(0) + 20
y = 0 + 20
y = 20
So when Sunia is a member for 0 months, the total cost is $20.
Next, let's find the total cost for 1 month (x=1):
y = 60(1) + 20
y = 60 + 20
y = 80
So when Sunia is a member for 1 month, the total cost is $80.
Continuing this process, we can find the total costs for 2, 3, 4, and 5 months:
When x=2:
y = 60(2) + 20
y = 120 + 20
y = 140
When x=3:
y = 60(3) + 20
y = 180 + 20
y = 200
When x=4:
y = 60(4) + 20
y = 240 + 20
y = 260
When x=5:
y = 60(5) + 20
y = 300 + 20
y = 320
So the completed table would look like this:
Months (x) Total Cost (y)
0 $20
1 $80
2 $140
3 $200
4 $260
5 $320