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4 years ago

Which is an equation of a direct proportion? y=16x+6 y=6x y=6x−6 y=6x

Mathematics

1 answer:

natita [175]4 years ago

5 0

The model for direct proportion is y = mx. Note that there is no "offset," no "y-intercept."

y = 6x represents direct proportion with a constant of proportionality 6. The other 2 choices are disqualified because of offset +6 or -6.

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Could I spare some change for gas?

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I said, "Yep, what a concept

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And we could all use a little change"

Well, the years start coming and they don't stop coming

Fed to the rules and I hit the ground running

Didn't make sense not to live for fun

Your brain gets smart but your head gets dumb

So much to do, so much to see

So what's wrong with taking the backstreets?

You'll never know if you don't go (go!)

You'll never shine if you don't glow

Hey now, you're an all star

Get your game on, go play

Hey now, you're a rock star

Get the show on, get paid

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Only shooting stars break the mold

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3 years ago

A company, Second Brain, produces calculators. It costs them $750 operating cost per week plus $6 per case of calculators manufa

musickatia [10]

Operating cost = $750

Working hours per day = 10

Total working hours per week = 70

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So, number of cases produced in a week = 50 × 70 = 3500

If x is the manufacturing cost per hour, then

Manufacturing cost for 3500 cases produced in a week = 3500x.

Total cost = Operating cost + Manufacturing cost

Hence, total cost C(x) = 750 + 3500x.

Number of cases produced in 1 hour = 50

Number of cases produced in t hours = 50t.

Cost per case = $6.

Amount of cases produced in t hours x(t) = 6 × 50t = 300t.

C(x(t)) = C(300t) = 750 + 300t.

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