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Sagot :
Answer:
See Explanation
Step-by-step explanation:
Define the variables
Let the entry fee be c and the hourly rate be m
Let the number of hours be x and the total amount be y
Work to solve
For Sami's skate
[tex]c = 6[/tex] and [tex]m = 2[/tex]
For Brad's skate
[tex]c =10[/tex] and [tex]m = 1[/tex]
The equations
The equation is derived using: [tex]y = mx + c[/tex]
For Sami's skate
[tex]y = 2x + 6[/tex]
For Brad's skate
[tex]y = x + 10[/tex]
When the cost are the same
To do this, we equate both expressions
i.e.
[tex]y = y[/tex]
[tex]2x + 6 = x + 10[/tex]
[tex]2x -x = 10 - 6[/tex]
[tex]x = 4[/tex]
i.e. the cost are the same at the 4th hour
What is the cost
Substitute 4 for x in any of the equations
[tex]y = x + 10[/tex]
[tex]y = 4 + 10[/tex]
[tex]y = 14[/tex]
The cost is $14.00
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