# Write A Linear Equation

Discussion in 'Algebra' started by nycmathguy, Jun 27, 2021.

1. ### nycmathguy

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In Exercises 91 and 92, you are given
the dollar value of a product in 2016 and the rate at which the value of the product is expected to change during the next 5 years. Use this information to write a linear equation that gives the dollar value V of the product in terms of the year t. (Let t = 16 represent 2016.)

91. Value for 2016: $3000; Rate:$150 decrease per year.

I see the point (16, 3000) = (t, V).

y - V_1 = -150(t - t_1)

y - 3000 = -150(t - 16)

y = -150t + 2400 + 3000

y = -150t + 5400

Correct?

92. Value for 2016: $200; Rate:$6.50 increase per year.

For this problem, I see the point (16, 200) = (t, V)

y - 200 = 6.5(t - 16)

y = 6.5t - 104 + 200

y = 6.5t + 96

Correct?

nycmathguy, Jun 27, 2021
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2. ### nycmathguy

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I got the right answer for 91. Question 92 is an even number question and thus not listed in the back of the book.

V(t) = −150t + 5400, 16 ≤ t ≤ 21

nycmathguy, Jun 27, 2021

3. ### MathLover1

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MathLover1, Jun 28, 2021
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4. ### nycmathguy

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This means I got it right.

nycmathguy, Jun 28, 2021
5. ### MathLover1

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yes you did

MathLover1, Jun 28, 2021
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