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.

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[tex]33 \: \: \frac{mile}{h} = \frac{d(1)}{t} \\ [/tex]

[tex]33 \: \: \frac{mile}{h} = \frac{d(1)}{x} \\ [/tex]

[tex]d(1) = 33x \: \: miles[/tex]

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[tex]93 \: \: \frac{mile}{h} = \frac{d(2)}{t} \\ [/tex]

[tex]93 \: \: \frac{mile}{h} = \frac{d(2)}{5 - x} \\ [/tex]

[tex]d(2) = 93 \times (5 - x) \: \: \: miles[/tex]

[tex]d(2) = 465 - 93x \: \: \:miles[/tex]

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[tex]d(total) =d(x) = d(1) + d(2) \\ [/tex]

[tex]d(x) = 33x + 465 - 93x[/tex]

[tex]d(x) = - 60x + 465[/tex]

Done...

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Answer:

d(x)=-60+465

Step-by-step explanation: