If you work 43 hours per week, then your weekly pay P , in dollars, is proportional to your hourly wage $W$ , in dollars per hour. Express this proportionality relationship as a formula.
A) $\rho \text { oc WV }$
B) $\rho = 43 \mathrm {~W}$
C) $W = 430$
D) None of the above.

Question

Quizplus · Accepted Answer

Since the weekly pay is proportional to the hourly wage, we can write:

P ∝ W

Now, we need to introduce the constant of proportionality, which we'll call k. So:

P = kW

We know that if we work 43 hours per week, we'll get paid P dollars. So:

P = 43W

Putting this together with the previous equation, we get:

43W = kW

Solving for k:

k = 43/W

Now we can use this value of k to write the formula for P in terms of W:

P = (43/W)W = 43

So the formula is:

P = 43W

Therefore, the correct choice is B.

If You Work 43 Hours Per Week, Then Your Weekly WWW

If You Work 43 Hours Per Week, Then Your Weekly $W$