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3 years ago

How do you write a function of t that represents the situation(sales $10,000 increase by 65% each year)?

Mathematics

1 answer:

Shkiper50 [21]3 years ago

7 0

Answer:

s(t) = 10000·1.65^t

Step-by-step explanation:

The general form of an exponential model is ...

f(t) = (initial value) × (1 +(fractional change))^t

where the fractional change can be positive or negative and t is the number of time units. Each time unit will correspond to the period required for the fractional change.*

For your problem, you have (initial value) = 10,000 and (fractional change) = 65% = 0.65 with time units of 1 year. Your function for sales (s) will then be ...

s(t) = 10000·1.65^t

_____

* The business regarding time units has to do with problems where you get a description like "increased 30% in 4 hours." Then, if t is in hours, the multiplier of the initial value looks like 1.30^(t/4).

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3 years ago

The braking distance, in feet of a car a Travling at v miles per hour is given.

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The braking distance at 25 mph, is approximately 63.7 ft.

The braking distance at 55 mph, is approximately 298.35 ft.

The braking distance at 85 mph, is approximately 708.92 ft.

b. If the car takes 450 feet to brake, it was traveling with a speed of 98.211 ft./s

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The given function for the braking distance is D = 2.6 + v²/22

a. The braking distance if the car is going 25 mph is therefore;

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$D = 2.6 + \dfrac{36.66339^2}{22} = 63.7 \ ft.$

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At 55 mph, the braking distance is approximately 298.35 ft.

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Learn more here:

brainly.com/question/18591940

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