Question

Solve

1) The wage, W dollars, of a person who works R hours of overtime is given by the formula
`W = 200r + 5900`
a) make a R subject of this formula
b) find the number of hours of overtime worked by someone whose total wage is $8200
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Answer 1

To solve for R, the formula is rearranged to R = (W - 5900) / 200. Substituting W with $8200, the overtime hours worked is found to be R = 11.5 hours.

Step-by-step explanation:

The student is asking how to solve for R, the number of hours of overtime worked, given the wage formula W = 200r + 5900, and also how to find the value of R when the total wage W is $8200.

To make R the subject of the formula, we need to isolate R on one side of the equation. We do this by subtracting 5900 from both sides of the equation and then dividing by 200:

W - 5900 = 200R
R = (W - 5900) / 200

To find the number of overtime hours worked for a total wage of $8200, we substitute W with 8200:

R = (8200 - 5900) / 200
R = 2300 / 200
R = 11.5

So, someone whose total wage is $8200 has worked 11.5 hours of overtime.

Answer 2

Step-by-step explanation:

a)

W = 200R + 5900

now, we want to transform this, so we get R = ...

W - 5900 = 200R

R = (W - 5900)/200

b)

R = (8200 - 5900)/200 = 2300/200 = 23/2 = 11.5

there were 11.5 hours of overtime.