Question

Write an exponential function y = abx for a graph that includes (2, 24) and (3, 48).

y = 2(6)x
y = 4(3)x
y = 3(4)x
y = 6(2)x

Answer 1

I will give medal

Answer 2

First, plug in the values of x=2 and y=24 for the first equation, and x=3 and y=48 for the second one:

24 = ab^2
48 = ab^3

divide equation 2 by equation 1:
2 = b^1

or, more simply:
2 = b

now plug b into one of the equations to get "a":

24 = a*2^2
24 = a*4
6 = a

So, the answer is "C" y = 6(2)^x
(I think you need to specify the power of x in your answers)

Answer 3

can you help me with some more please? @Hannah_Waller

Answer 4

ok

Answer 5

Suppose the population of a town is 9,800 and is growing 2% each year. Write an equation to model the population growth. Predict the population after 7 years.

y=9,800*1.02^x; about 11,257 people
y=9,800*2^x; about 11,257 people
y=9,800*2^x; about 1,254,400 people
y=2* 9,800^x; about 137,200 people
@Hannah_Waller

Answer 6

I think its the 2nd or third one...

Answer 7

Suppose an investment of $6,600 doubles in value every 8 years. How much is the investment worth after 40 years?

$105,600
$66,000
$528,000
$211,200
@Hannah_Waller

Answer 8

The last one

Answer 9

Write an exponential function y = abx for a graph that includes (–3, 16) and (–1, 4)

f(x) = 3(4)x
f(x) = 2(0.5)x
f(x) = 0.5(2)x
f(x) = 4(0.3)x

Answer 10

Honestly im not completly sue on this one.... @tay30

Answer 11

Oh that is ok.
Suppose a laboratory has a 31 g sample of polonium-210. The half-life of polonium-210 is about 138 days. How many half-lives of polonium-210 occur in 966 days? How much polonium is in the sample 966 days later?

7; 0.24 g
7; 2,139 g
8; 0.12 g
7; 4.43 g

Answer 12

i think mabye d but idk...

Answer 13

Write an exponential function y = abx for a graph that includes (1, 15) and (0, 6).

y = 6(2.5)x
y = 2.5(6)x
y = 3(5)x
y = 5(3)x

Answer 14

@Hannah_Waller

Answer 15

im not good at these... sorry

Answer 16

Ok. Thanks for the help. @Hannah_Waller