Question

ANSWER WILL GET 50 POINTS. A boy walks for x hours at 33 mph and bicycles for (5−x) hours at 93 mph. If the total distance traveled is d miles, express d in terms of x.

Answer 1

d(x)=-60+465

Explanation:

Answer 2

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`33 \: \: (mile)/(h) = (d(1))/(t) \\`

`33 \: \: (mile)/(h) = (d(1))/(x) \\`

`d(1) = 33x \: \: miles`

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`93 \: \: (mile)/(h) = (d(2))/(t) \\`

`93 \: \: (mile)/(h) = (d(2))/(5 - x) \\`

`d(2) = 93 * (5 - x) \: \: \: miles`

`d(2) = 465 - 93x \: \: \:miles`

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`d(total) =d(x) = d(1) + d(2) \\`

`d(x) = 33x + 465 - 93x`

`d(x) = - 60x + 465`

Done...

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