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Romashka-Z-Leto [24]
3 years ago
9

Anna makes more money than Nancy use the graph at the right to make a table and write a rule for the relationship between their

earnings

Mathematics
1 answer:
klasskru [66]3 years ago
4 0

Answer: Nancy = X , Anna = Y   X rule is plus 8 and Y rule is plus 12

Step-by-step explanation:

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An old-fashioned bicycle has two differently sized wheels. The circumference of the front wheel is 9 feet larger than the circum
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So, the bicycle looks like the one in the picture below.

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we also know that the large wheel has a circumference that is 9 feet larger than the small one, so, since the small one has a circumference of 2πr, then the large one will have a circumference of 2πr + 9.

after Thomas cycled for a while, the large did 500 revolutions, or times around, whilst the small one did 1400, since it's smaller.  On that time, they covered however, the same amount of ground, since they're on the same bike.

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\bf \stackrel{small~wheel}{1400(2\pi r)}~~=~~\stackrel{large~wheel}{500(2\pi r+9)}\implies 14(2\pi r)=5(2\pi r+9)
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28\pi r=10\pi r+45\implies 18\pi r=45\implies r=\cfrac{45}{18\pi }
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\boxed{r=\cfrac{5}{2\pi }}

so, how much ground did they cover anyway?

well, we could use either, since we know what the radius is, hmmmm let's use say the small wheel's circumference,

\bf 1400(2\pi r)\implies 1400\left(\underline{2\pi }\cdot \cfrac{5}{\underline{2\pi }}  \right)\implies 1400(5)\implies \stackrel{feet}{7000}

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Can you post a picture of the question?
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