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?___$.

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

and

For Brad's skate

and

The equations

The equation is derived using:

For Sami's skate

For Brad's skate

When the cost are the same

To do this, we equate both expressions

i.e.

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

What is the cost

Substitute 4 for x in any of the equations

The cost is $14.00

answer: b.48 for

step-by-step explanation:

d

step-by-step explanation:

given

y + 3 = - 4(x - 2) ← distribute the parenthesis

y + 3 = - 4x + 8 ( subtract 3 from both sides )

y = - 4x + 5 → d