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3 years ago

Can anyone help me with this question, it asks Which function shows an increasing rate of growth?

Mathematics

2 answers:

crimeas [40]3 years ago

5 0

Answer: Option B

Step-by-step explanation:

An increased rate of growth refers to exponential growth.

Are those of the form "An amount X increases by a 10% every year"

Then, if in year 0 you have X

in year 1 you have X + 0.1*X = X*1.1

in year 2 you have (X*1.1) + (X*1.1)*0.1 = X*1.1*1,1 = X*1.1^2

and in year n, you have X*1.1^n

Then, an increasing rate of growth is usually described by a number bigger than 1 potentiated by the variable; in this case, the correct option is option b:

h(x)=99(1.05)^x

(where the sign ^ is missing in the question)

raketka [301]3 years ago

4 0

Answer:

Step-by-step explanation:

the correct answer is B

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mr ogata drove 276 mies from his house to los angeles at an average speed of 62 miles per hour. how long did it take him to get

Ilia_Sergeevich [38]

About 5 hours. I did this by dividing and rounding 276 by 62. Hope this helps!

4 0

3 years ago

At a baseball game, 3 drinks and 4 hotdogs cost $15.00. At the same game, 3 drinks and 1 hotdog cost $10.50. Find the cost for a

Serhud [2]

Answer:

Step-by-step explanation:

Given data

Let the cost of drinks be x

and the cost of hotdogs be y

3x+4y=15-------1

also

3x+y= 10.5------2

solve 1 and 2

3x+4y=15

-3x+y= 10.5

3y= 4.5

divide both sides by 3

y= 4.5/3

y= $1.5

Put y= 1.5 in 1

3x+4(1.5)=15

3x+6= 15

3x=15-6

3x= 9

x= 9/3

x= $3

Hence the cost of a drink is $3

8 0

3 years ago

Roberto rowed 20 miles downstream in 2.5 hours. The trip back, however, took him 5 hours. Find the rate that Roberto rows in sti

almond37 [142]

Answer:

<em>Roberto's speed in still water is 6 miles/hour and the river speed is 2 miles/hour</em>

Step-by-step explanation:

<u>Relative Speed</u>

When a body is moving at a constant speed v, the distance traveled in a time t is:

$d=v.t$

When Roberto rows downstream, his speed in still water is added to the speed of the water, making it easier to travel the required distance.

When Roberto rows upstream, his speed in still water is affected by the speed of the water, both are subtracted and the required distance is covered in more time.

Let's call

x = Roberto's rowing speed in still water

y = Speed of the river current

The speed when rowing downstream is x+y, thus the distance traveled is

$d=(x+y).t_1$