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mestny [16]
3 years ago
12

Which function represents exponential decay?

Mathematics
1 answer:
geniusboy [140]3 years ago
3 0

Answer:

a

Step-by-step explanation:

We are looking for an exponential function y=a(r)^x where r is less than 1.

a works because it is in the form y=a(r)^x where r is less than 1.

b is in the form y=a(r)^x but r is more than 1.

c. and d. are not even exponential functions.

c. is a polynomial

d. is a constant polynomial (no variable)

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Find the equation of the line passing through the points -2x+1 (8,2)
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The line that passes through (-2, 1) and (8, 2) is:

y = (1/10)*x + 12/10

<h3>How to find the equation of the line?</h3>

I assume you want to find the equation of the line that passes through (-2, 1) and (8, 2).

A general linear equation is written as:

y = a*x + b

If the line passes through two points (x₁, y₁) and (x₂, y₂), then the slope can be written as:

a = \frac{y_2 - y_1}{x_2 - x_1}

In this case, we know that it passes through (-2, 1) and (8, 2), then:

a = \frac{2 - 1}{8 - (-2)} = 1/10

Then the line is:

y = (1/10)*x + b

To find the value of b, we use one of the given points, for example if we use (8, 2), it means that when x = 8, we must have y = 2.

2 = (1/10)*8 + b

2 - 8/10  = b

20/10 - 8/10 = b

12/10 = b

Then the linear equation is:

y = (1/10)*x + 12/10

If you want to learn more about linear equations:

brainly.com/question/1884491

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