All categories

3 years ago

Which equation represents exponential decay? help pls

Mathematics

1 answer:

kati45 [8]3 years ago

4 0

Exponential decay can be represented in two ways.

By having $y=a^{-x}$ with $a>1$

By having $y=a^x$ with $0$

The only alternative that satisfies one of the conditions is letter C

You might be interested in

Please Help Me Asap I Need Units Too

Lina20 [59]

Hello and Good Morning/Afternoon

Let's take this problem step by step:

To find the rate of change is essentially like finding a line's slope:

⇒ the x-values are the number of sodas

⇒ the y-values are the total costs

⇒ choose two sets of coordinates and find the slope

Let's put that into action

Choose any two points

⇒ (24, 18)

⇒ (28, 21)

Calculate Slope

$Rate_.of_.change = \frac{21-18}{28-24} =\frac{3}{4}$

Since the rate of change is total cost over number of sodas

⇒ unit is 'total cost/number of sodas'

Answer: 3/4 total cost/number of sodas

Hope that helps!

#LearnwithBrainly

3 0

2 years ago

What is the answer !

kondor19780726 [428]

Answer:

m∠OKG = 95°

Step-by-step explanation:

In the given question,

Angle OKL and angle OKG are the linear pairs.

And we know that sum of linear pair of angles is 180°.

Therefore, m∠OKL + m∠OKH = 180°

85° + m∠OKH = 180°

m∠OKH = 180° - 85°

= 95°

Therefore, measure of angle OKG = 95° will be the answer.

3 0

3 years ago

A high school sports team is ordering sports drinks online from a company. The price of sports drinks varies, based on the numbe

Elena-2011 [213]

The amount of drinks is a linear function of the number of drinks. The maximum amount that can be purchased is 100 soft drinks.

Let

$y \to$ amount of drinks

$x \to$ number of drinks

For drinks not more than 50

$y = 10 + 0.8x$

For drinks more than 50.

$y = 15 + 0.7x$

For a purchase of $85, it means that:

$y = 85$

So, we solve for x in both equations.

$y = 10 + 0.8x$

$85 = 10 + 0.8x$

Collect like terms

$0.8x = 85-10$

$0.8x = 75$

Divide through by 0.8

$x = 93.75$

$x = 94$ --- approximated

$y = 15 + 0.7x$

$85 =15 + 0.7x$

Collect like terms

$0.7x = 85 - 15$

$0.7x = 70$

Divide by 0.7

$x = 100$

By comparing both values:

$x = 100$

$x = 94$

$100 > 94$

Hence, the maximum amount that can be purchased is 100