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Mathematics

1 answer:

Dahasolnce [82]4 years ago

3 0

Answer:

a. The constant = 45

b. The unit rate is 45 miles per hour

c. d = 45t

Step-by-step explanation:

a. ∵ d ∝ t

∴ d = kt

∵ d = 90 at t = 2

∴ 90 = k(2)

∴ k = 90 ÷ 2 = 45

∴ The constant of proportionality is 45

b. ∵ k = d(miles) ÷ t(hours) = 45

∴ The unit rate is 45 miles per hour

c. The equation is ⇒ d = 45t

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John made a rectangle pen for his dog using 28 feet of fencing. If the width of the pen is 2 feet more than one-half the length,

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Okay, so you know that the perimeter of the pen is 28 feet. Now we need the separate side lengths.

P = 28 ft.
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Width = (1/2)x + 2

So now we can plug in the little equations of length and width into a perimeter formula:
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To find the width, just plug in 8 for x in our little equation:
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Step-by-step explanation:

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2 years ago