Question

You want to go to the skate park, and you have two options:

Answer 1

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

$c = 6$ and $m = 2$

For Brad's skate

$c =10$ and $m = 1$

The equations

The equation is derived using: $y = mx + c$

For Sami's skate

$y = 2x + 6$

For Brad's skate

$y = x + 10$

When the cost are the same

To do this, we equate both expressions

i.e.

$y = y$

$2x + 6 = x + 10$

$2x -x = 10 - 6$

$x = 4$

i.e. the cost are the same at the 4th hour

What is the cost

Substitute 4 for x in any of the equations

$y = x + 10$

$y = 4 + 10$

$y = 14$

The cost is $14.00