The number of hours that'll give same cost is 26 hours.
a. The expression to find the total cost will be:
= Membership fee + Additional charges
= 100 + 1(x)
= 100 + x
b. The expression to find the total cost will be:
= Membership fee + Additional charges
= 35 + 3.5(x)
= 35 + 3.5x
c. The number of hours gotten will be calculated thus:
100 + x = 35 + 3.5x
Collect like terms
3.5x - x = 100 - 35
2.5x = 65.
Divide both side by 2.5
2.5x/2.5 = 65/2.5
x = 26
At 26 hours, there'll be the same cost.
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Answer:
(A)Total cost [tex]\[=100+x\][/tex]
(B)Total cost [tex]\[=35+3.50x\][/tex] ,were x = number of hour
(C)Number of hours which give the same total cost is[tex]\[26\][/tex]
Step-by-step explanation:
A)
Membership fee= [tex]\[100\$\][/tex]
Additional charges=[tex]\[\$1\][/tex] per hour
Total cost = Membership fee +additional charges
Total cost [tex]\[=100+x\][/tex]
b)
Membership fee= [tex]\[35\$\][/tex]
Additional charges= [tex]\[\$3.50\][/tex] per hour
Total cost = Membership fee +additional charges
Total cost [tex]\[=35+3.50x\][/tex] ,were x = number of hour
c)
Let Total cost is represented as y
Number of hours which give the same total cost is[tex]\[26\][/tex]
This can be checked mathematically as-
[tex]& 100+x=35+3.50x \\ & 100-35=3.50x-x \\ & 65=2.5x \\ & x=\frac{65}{2.5} \\ & =26[/tex]
