Circumference varies directly with radius means:
[tex]\frac{C}{r} = k[/tex]
[tex]\frac{9.42}{1.5} = k[/tex]
6.28 = k
So, the new equation is:
[tex]\frac{C}{r} = 6.28[/tex]
[tex]\frac{C}{9} = 6.28[/tex]
[tex](9)\frac{C}{9} = (9)6.28[/tex]
C = 56.52
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paycheck varies directly with hours means:
[tex]\frac{P}{h} = k[/tex]
[tex]\frac{52.50}{6} = k[/tex]
8.75 = k
So, the new equation is:
[tex]\frac{P}{h} = 8.75[/tex]
[tex]\frac{P}{11} = 8.75[/tex]
[tex](11)\frac{P}{11} = (11)8.75[/tex]
P = $96.25
