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JulijaS [17]
2 years ago
14

A restaurant earns $10 for each hour worked up to 40 hours each week and 15 for each additional hour worked over 40 hours. If x

represents the total number of hours the restaurant host work,which function,f(x), represent the total amount the restaurant host would earn if working for more than 40 hours
Mathematics
1 answer:
makvit [3.9K]2 years ago
8 0

Answer:

f(x) =  15x - 200

Step-by-step explanation:

Given

Earnings = \$10 per hour for 40 hours, weekly

Additional\ Hour = \$15 per hour over 40 hours, weekly

Required

Determine f(x)

From the question, we have that

x represents hours worked

Earnings in 40 hours is: 40 * 10 = $400

Hours over 40 will be: x - 40

So, earnings during this time will be: (x - 40) * 15

Total earnings is:

f(x) = 400 + (x - 40) * 15

f(x) = 400 + 15x - 600

f(x) =  15x - 600 + 400

f(x) =  15x - 200

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Step-by-step explanation:

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Bryan’s monthly electric bill is determined by adding a flat administration fee to the product of the number of kilowatt hours o
Sophie [7]
We will form the equations for this problem:
(1) 1100*y + z = 113
(2) 1500*y + z = 153
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Number of kilowatt hours of electricity used are numbers 1100 and 1500 respectively.
Cost per kilowatt hour is notated with y, but its value is not asked in this math problem, but we can calculate it anyway.
The problem becomes two equations with two unknowns, it is a system, and can be solved with method of replacement:
(1) 1100*y + z = 113
(2) 1500*y + z = 153
----------------------------
(1) z = 113 - 1100*y [insert value of z (right side) into (2) equation instead of z]:
(2) 1500*y + (113 - 1100*y) = 153
-------------------------------------------------
(1) z = 113 - 1100*y
(2) 1500*y + 113 - 1100*y = 153
------------------------------------------------
(1) z = 113 - 1100*y
(2) 400*y + 113 = 153
------------------------------------------------
(1) z = 113 - 1100*y
(2) 400*y = 153 - 113
------------------------------------------------
(1) z = 113 - 1100*y
(2) 400*y = 40
------------------------------------------------
(1) z = 113 - 1100*y
(2) y = 40/400
------------------------------------------------
(1) z = 113 - 1100*y
(2) y = 1/10
------------------------------------------------
if we insert the obtained value of y into (1) equation, we get the value of z:
(1) z = 113 - 1100*(1/10)
(1) z = 113 - 110
(1) z = 3 dollars is the monthly fee.
6 0
3 years ago
Read 2 more answers
Isaiah is saving 12$ per week from his allowance. after 20 weeks, Isaiah has 240$
dsp73

Answer: He saved $12 per week

Step-by-step explanation:

I am confused you basically solved your own question but here is the explanation.

Isaiah gets $12 per week in his allowance, every two weeks he gets $24, so in twenty weeks he would have save $240. Here is an equation.

2W*10 = $240

W = weeks

2 weeks = $24*10 = $240

I hope this helps in anyway

7 0
2 years ago
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