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Lorico [155]
3 years ago
14

Lucy earns money babysitting. Her earnings and hours worked represent a direct variation. She worked for 4 hours and earned $25.

Mathematics
1 answer:
SashulF [63]3 years ago
7 0

For this case we have that by definition, a direct variation is given in the form:

y = kx

Where:

k: It is the constant of proportionality

According to the statement we have to:

y = 25\\x = 4

Substituting:

25 = k4\\k = \frac {25} {4}k = 6.25\ for\ \frac {dollars} {hour}

On the other hand we have:

y = 4\\x = 25\\4 = k25\\k = \frac {4} {25}

k = 0.16\ for\ \frac {hours} {dollar}

Answer:

k = 6.25 for \frac {dollars} {hour}\\k = 0.16 for \frac {hours} {dollar}

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