Wilson is thinking about buying a house. The table below shows the projected value of two different houses for three years.

1 answer:

5 0

Given:
<span> Number of years 1 2 3
House 1 (value in dollars) 249,000 253,980 259,059.60
House 2 (value in dollars) 249,000 256,000 263,000

House 1: exponential function
House 2: linear function

House 1: f(x) = 249,000 * (1.02)^(x-1)
</span>→ f(3) = 249,000 * (1.02)³⁻¹ = 249,000 * (1.02)² = 259,059.60

House 2: f(x) = 249,000 + 7,000(x-1)
→ f(3) = 249,000 + 7,000(3-1) = 249,000 + 7,000(2) = 249,000 + 14,000 = 263,000

House 1:
f(45) = 249,000 * (1.02)⁴⁵⁻¹ = 249,000 * (1.02)⁴⁴ = 249,000 * 2.39 = 595,110

House 2:
f(45) = 249,000 + 7,000(45-1) = 249,000 + 7,000(44) = 249,000 + 308,000 = 557,000

House 1 will have a greater value than House 2 after 45 years.

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The amount of profit, p, you earn by selling knives,k, can be determined by:p=200k-500. A) determine the constraints on profit a

Marizza181 [45]

The only restraints on profit result from the restriction on the domain which in turn place a restriction on profit.

0≤k. Knives sold cannot be negative.

So the range of profit or p is:

p=[-500, +oo)

Profit increases as the number of knives sold increases. $200 more profit is gained by each sale of a knife.

4000=200k-500

4500=200k

k=22.5

Since k is for knives sold, it must be an integer value, so a $4000 profit is not possible. At 22, p=3900 and at 23, p=4100

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3 years ago

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Basile [38]

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