Question

Need help with these two questions.

Answer 1

Circumference varies directly with radius means:

$\frac{C}{r} = k$

$\frac{9.42}{1.5} = k$

6.28 = k

So, the new equation is:

$\frac{C}{r} = 6.28$

$\frac{C}{9} = 6.28$

$(9)\frac{C}{9} = (9)6.28$

C = 56.52

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paycheck varies directly with hours means:

$\frac{P}{h} = k$

$\frac{52.50}{6} = k$

8.75 = k

So, the new equation is:

$\frac{P}{h} = 8.75$

$\frac{P}{11} = 8.75$

$(11)\frac{P}{11} = (11)8.75$

P = $96.25