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Alborosie
3 years ago
8

write an algebraic expression to model each situation. you have a summer job at a car wash. you earn $8.50 per hour and are expe

cted to pay a one-time fee of $15 for the uniform. if you work x hours per week, how much will you make during the first week? show all your work.
Mathematics
2 answers:
dybincka [34]3 years ago
8 0
So we know $8.50 per hour
One-time fee of $15 for uniform
x hours per week

y=8.5x-15
hoa [83]3 years ago
3 0

Answer:

The algebraic expression to the model is 8.5x-15

Step-by-step explanation:

Consider the provide situation.

You have a summer job at a car wash. you earn $8.50 per hour and are expected to pay a one-time fee of $15 for the uniform.

Let you work for x hours per week and you earn $8.50 per hours, so the money you will earn can be represented as:

8.50 times x or 8.50x

Now you need to pay one time fee of $15 for the uniform.

For the one time fee use a negative sign.

Thus, the required expression is:

8.50x-15

The algebraic expression to the model is 8.5x-15

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A party rental company has chairs and tables for rent. The total cost to rent 3 chairs and 5 tables is $52. The total cost to re
riadik2000 [5.3K]

Answer:

The cost for 1 chair is $2.75 and the cost for 1 table is $8.75

Step-by-step explanation:

Use the elimination method of linear equations to find your answer.

Our equations for this problem are:

3c+5t=52 and 9c+7t=86

1. Multiply the entire first equation by -3.

-3(3c+5t=52)

2. Simplify the equation from above:

-9c-15t=-156

3. Stack the two equations on top of each other and add/subtract:

-9c-15t=-156

9c+7t=86

4. You should be left with -8t=-70. Simplify this to find the value of t:

t=8.75

5. Plug the value of t into any of the original equations and solve for c.

3c+5(8.75)=52

6. Simplify the equation above:

3c+43.75=52

7. Subtract 43.75 from both sides of the equation:

3c=8.25

8. Divide both sides by 3 to get your c value:

c=2.75

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3 years ago
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Answer:

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