The Number Two Plumbing Co. charges $45 per hour plus a fixed service call charge of $65. Write an equation that will allow you to compute the total bill for any number of hours, x, that it takes to complete a job.

A. C = 45x + 65
B. C = 65x + 45
C. 65x + 45C = 0
D. 45x + 65C = 0

A business purchases a copier for $5,500 and anticipates it will be worth $2,500 after 10 years. Use straight-line depreciation to find a linear model for the depreciated value V of the copy machine after t years of use.
A. V = -5,500 + 300t
B. V = 300 - 5500t
C. V = -300 + 5500t
D. V = 5,500 - 300t

#1. Since there is a fixed charge of $65, you know that there will be a "...+65" in the solution. That leaves only (A)

#2 Since the value starts at $5500, you know the solution will have "5500-..." in it. That leaves only (D)

See whether you can justify the rest of the solution.

A for the 1st one, 45 dollars per hour, x, is 45x. The fixed-service is a one-time thing so it's c = 45x + 65.The 2nd one is D. The original cost of the copier is 5,500. 5500-2500 = 3000. This is the cost reduction over the ten years. 3000/10 is 300: The amount it gets reduced by every year. For D, when you plug in 10, you get 2,500.

thanks much Steve and Kelsi

To get the answer to the first question, we need to understand the given information. The Number Two Plumbing Co. charges $45 per hour for the work done and has a fixed service call charge of $65.

The total bill for any number of hours, x, can be calculated by multiplying the hourly rate ($45) by the number of hours and adding the fixed service call charge ($65).

Therefore, the equation that allows us to compute the total bill for any number of hours would be: C = 45x + 65.

The correct answer is A. C = 45x + 65.

To get the answer to the second question, we need to find a linear model for the depreciated value V of the copy machine after t years of use, using straight-line depreciation.

Straight-line depreciation means that the value of the copy machine decreases by a fixed amount every year. To find the rate of depreciation, we can subtract the anticipated value after t years ($2,500) from the initial purchase price ($5,500) and divide it by the number of years of use (10).

Rate of depreciation = (Initial Value - Anticipated Value) / Number of Years
= (5500 - 2500) / 10
= 300

Therefore, the linear model for the depreciated value V of the copy machine after t years of use would be: V = 5500 - 300t.

The correct answer is D. V = 5500 - 300t.