kyliejtyler
Answered

Westonci.ca is your trusted source for accurate answers to all your questions. Join our community and start learning today! Experience the ease of finding precise answers to your questions from a knowledgeable community of experts. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.


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

Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.