Which situations can be presented by an exponential function?

Mathematics

1 answer:

Neko [114]3 years ago

7 0

Answer:

C.The value of a motorcycle decrease by 12% each year

D.Every year, the number of online subscribers to a service is 4 times what it was the previous year

Step-by-step explanation:

A function is said to be exponential if it changes (increases or decreases) by a fixed percentage or proportion over a certain period of time.

From the options given, only options C and D is defined as changing based on a certain percentage. And option D cgbages by a clfixed proportion from the initial value.

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What is the missing length.

nasty-shy [4]

Answer:

$KS = 12$

Step-by-step explanation:

Given that ∆KLM ~ ∆RSK, $\frac{KL}{KR} = \frac{KM}{KS}$ (similarity theorem)

KL = 65

KR = 65 - 52 = 13

KM = 60

KS = ?

$\frac{65}{13} = \frac{60}{KS}$

Cross multiply

$65*KS = 60*13$

$65*KS = 780$

$\frac{65*KS}{65} = \frac{780}{65}$

$KS = 12$

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3 years ago

A square with side x is changing with time where x(t)=3t+1. What is rate of change of the area of the square when t=2 seconds.

GuDViN [60]

Answer:

Rate of change of the area of the square is 42 units at t = 2.

Step-by-step explanation:

We note that the area of the square is given by: $A(x) = x^2$ but we aim to find $\frac{dA}{dt}$ . But we can use the chain rule to pull out that dA/dt. Doing so gives us: