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ella [17]
3 years ago
15

State whether the growth (or decay) is linear or exponential, and answer the associated question.

Mathematics
1 answer:
Gekata [30.6K]3 years ago
3 0

Answer:

The growth is linear.

It will be worth $124,500 in three years.

Step-by-step explanation:

The value of a house is increasing by $1500 per year.

Fixed increase, that is, each year the value increases the same. So the growth is linear.

Value after t years:

The equation has the following format:

V(t) = V(0) + a*t

In which V(0) is the current value and a is the yearly increase.

The value of a house is increasing by $1500 per year. It is worth $120,000 today.

Then V(0) = 120000, a = 1500

So

V(t) = V(0) + a*t

V(t) = 120000 + 1500*t

What will it be worth in three years?​

This is V(3).

V(t) = 120000 + 1500*t

V(3) = 120000 + 1500*3

V(3) = 124500

It will be worth $124,500 in three years.

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\tan(51°)  =  \frac{10}{x}  \\x =  \frac{10}{ \tan(51°) }  \\ x = \frac{10}{1.235}  \\ \boxed{ x = 8.1}

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