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4 years ago

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You have a small business making and delivering box lunches. You calculate your average weekly cost y of producing x lunches usi

ng the function y = 2.1x + 75. Last week your cost was $600. How many lunches did you make last week?

1 answer:

kogti [31]4 years ago

6 0

250 lunches are produced by the small business in last week.

<u>Step-by-step explanation:</u>

It is given that,

y ⇒ the average cost per week.
x ⇒ the number of lunches produced per week.

The function relating these two factors x and y is given as y = 2.1x + 75

The cost of the last week is y = $600.
The lunches made last week is x = unknown.

<u>To find the value of x :</u>

Substitute y= 600 in the given function,

⇒ 600 = 2.1x + 75

⇒ 2.1x = 600 - 75

⇒ x = 525 / 2.1

⇒ x = 250

Therefore, the lunches prepared last week is 250.

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The weight of water is 62 1/2 per cubic feet. Water that weighs 325 lbs will fill how many cubic feet

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Water that weighs 325 lbs will fill 5.2 cubic feet.

Step-by-step explanation:

This is a simple question of cross multiplication

<u>DATA:</u>

<em>1. The weight of water for 1 cubic feet is 62.5</em>

<em>2. The weight of water for 'X' cubic feet is 325 </em>

<em>3. To find x, form an equation:</em>

Cubic feet : Weight of water

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X : 325

<em>4. Cross multiply</em>

X x 62.5 = 1 x 325

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<em>5. Make X the subject</em>

X = $\frac{325}{62.5}$

<em>6. Solve to find X</em>

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