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Wilkianago
Answered

The number (N) of plastic straws produce by a machine varies directly as the amount of time (T) the machine is operating. The machine produces 20,000 straws in 8 hours, how many straws can it produce in 50 hours?​

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KittyLeopardCatgo

125,000 straws in 50 hours.

Step-by-step explanation:

Given is the direct relationship between number of produced straws and the hours of operating machine.

Given that 20,000 straws are produced in 8 hours of machine's operation.

Let's assume that 'x' straws are produced in 50 hours of machine's operation.

Using the concept of proportions, x straws in 50 hours would be proportional to 20,000 straws in 8 hours.

[tex] \frac{x \: straws}{50 \: hours } = \frac{20000}{8 \: hours} [/tex]

[tex] \frac{x \: straws}{20000 \: straws} = \frac{50 \: hours}{8 \: hours} [/tex]

[tex] \frac{x}{20000} = \frac{50}{8} [/tex]

CROSS MULTIPLYING

8 • X = 50 • 20,000

8X = 1,000,000

[tex] \frac{8x}{8} = \frac{1000.000}{8} [/tex]

[tex]x = 125000 \: \: straws[/tex]

Hence the total of straws in 50 hours is 125,000.

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