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

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MrRoyal MrRoyal · Answer 1 · 2020-10-19T13:31:32+02:00

Answer:

[tex]f(x) = 15x - 200[/tex]

Step-by-step explanation:

Given

[tex]Earnings = \$10[/tex] per hour for 40 hours, weekly

[tex]Additional\ Hour = \$15[/tex] 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:

[tex]f(x) = 400 + (x - 40) * 15[/tex]

[tex]f(x) = 400 + 15x - 600[/tex]

[tex]f(x) = 15x - 600 + 400[/tex]

[tex]f(x) = 15x - 200[/tex]