3 years ago

I honestly need help O.o

Mathematics

1 answer:

dimaraw [331]3 years ago

8 0

Answer:

Its b!!!!!!

Step-by-step explanation:

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The amount of drinks is a linear function of the number of drinks. The maximum amount that can be purchased is 100 soft drinks.

Let

$y \to$ amount of drinks

$x \to$ number of drinks

For drinks not more than 50

$y = 10 + 0.8x$

For drinks more than 50.

$y = 15 + 0.7x$

For a purchase of $85, it means that:

$y = 85$

So, we solve for x in both equations.

$y = 10 + 0.8x$

$85 = 10 + 0.8x$

Collect like terms

$0.8x = 85-10$

$0.8x = 75$

Divide through by 0.8

$x = 93.75$

$x = 94$ --- approximated

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$85 =15 + 0.7x$

Collect like terms

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Divide by 0.7

$x = 100$

By comparing both values:

$x = 100$

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$100 > 94$

Hence, the maximum amount that can be purchased is 100