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You want to go to the skate park, and you have two options:
Sami's Skate Park: $6 to get into the park and $2.00 for every hour.
Brad's Skate Park: $10 to get into the park and $1.00 for every hour.
How long until the two parks would have the same total cost? What is that total cost?

1- DEFINE THE VARIABLES:

2- SHOW YOUR WORK TO SOLVE HERE:

3- EQUATIONS:

4- QUESTIONS:

5- When are the costs the same?

i) when are the cost the same?
___ hours

ii) What is that cost?___$.

Sagot :

MrRoyal

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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