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nlexa [21]
3 years ago
15

The table on the left is that of a linear function, and the one on the right is that of an exponential function. Can you tell wh

ich function has the higher rate of growth? How?

Mathematics
1 answer:
Brut [27]3 years ago
6 0

The correct answer is D.

As you can see, the exponential function grows by doubling the previous output with each increment of the input: start with 1, you double it to get 2, then you double it to get 4, 8 and so on.

On the other hand, the linear function adds 7 with each step. This means that the exponential function will eventually reach and pass the linear one, and will definitely be grater from that point on. In fact, if we continue the table, we get

\begin{array}{c|c|c}\text{x value}&\text{linear}&\text{exponential}\\4&28&8\\5&35&16\\6&42&32\\7&49&64\\8&56&128\\9&63&256\end{array}

and you can see how the exponential growth is much faster than the linear one.

You might be interested in
3(4*5)=(3*4)5 what is thsi
Serggg [28]
This is the associative property. Basically if you move the parenthesis either to left or right you’ll still get the right answer. So 4 times 5 equals 20 and 20 times 3 equals 60. 3 x 4 equals 12 and 12 x 5 equals 60
8 0
3 years ago
Read 2 more answers
Which choice is equivalent to the quotient below?
Hoochie [10]
None of the choices are equivalent
64/4 is 16
a is 4
b is 4
c is 2
d is 1
4 0
2 years ago
Aaron was offered a job that paid a salary of \$57,000$57,000 in its first year. The salary was set to increase by 1% per year e
Jobisdone [24]

Answer:

The total amount received is: $1906650

Step-by-step explanation:

Given

a = \$57000 --- initial

b = 1\% --- rate

n = 29 --- time

Required

Determine the total amount at the end of 29 years

The given question is an illustration of geometric progression, and we are to solve for the sum of the first n terms

Where n = 29

r = 1 + b

r = 1 + 1\%

Express percentage as decimal

r = 1 + 0.01

r = 1.01

The required is the calculated using:

S_n = \frac{a(r^n - 1)}{r - 1}

So, we have:

S_n = \frac{57000 * (1.01^{29} - 1)}{1.01 - 1}

S_n = \frac{57000 * (1.3345- 1)}{0.01}

S_n = \frac{57000 * 0.3345}{0.01}

S_n = \frac{19066.5}{0.01}

S_n = 1906650

<em>The total amount received is: $1906650</em>

8 0
3 years ago
NEED HELP ASAP!
ziro4ka [17]
We see it is the y terms squared so it opens left or right

in form
(y-k)^2=4(p)(x-h)
vertex is (h,k)
and p is distance from focus to vertex, also distance from vertex to directix
if p>0, then it opens to the right and dirextix is to the left of vertex
if p<0, then it opens to the left and directix is tothe right of vertex


so
(y-1)^2=4(4)(x-(-3))
vertex is (-3,1)
4>0 so dirextix is to left of vertex
left is in x direction
-3-4=-7
directix is x=-7
4 0
3 years ago
An internal census of the salaries of animals employed by United Pets Inc. shows that the median salary for dogs is considerably
RUDIKE [14]

Answer:

c. Different departments tend to pay different salaries, and dogs are more likely than cats to work in lower-paying departments.

Explanation:

The only explanation for difference in median results is that dogs take up jobs in both higher paying departments and lower paying departments while cats take up jobs in only higher paying departments only. In other words the median results for dogs when compared in general would be higher than that of the cats

7 0
3 years ago
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