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Using the information from Question 1, what is the constant of proportionality? Remember, Daniel earns $37 for 4 hours and $64.75 for 7 hours.

User Ameet
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Proportions

Two magnitudes are proportional if one of them can be calculated as the other by a constant number. That is:

y=k.x

Where y is one magnitude or variable and x is the other. K is the constant of proportionality

The information given in the question states the Daniel earns $37 for 4 hours.

Let's call E to his earnings, and h to the hours he works, thus:

E=k.h

We don't know yet the value of k.

Let's use the previous data to find k E=37 when h=4:

37 = k*4

Find k by solving the above equation. Dividing by 4:

37 / 4 = k

Thus:

k = 9.25

Knowing the value of k, the function is:

E = 9.25*h

Please note that for h=7:

E = 9.25*7= $64.75

The second data corresponds to the already-found value of k, thus:

The constant of proportionality is 9.25

User Atm
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