The function s(x)=0.9(.82)^x models the number of subscription in tens of thousands where x represents the number of years since the trend has been observed.

s(x) represents the number of subscriptions to the Dorchester Daily in a given year.

0.9 in ten thousands represents the initial number of subscriptions to the Dorchester Daily in a given year.

0.82 represents the rate at which the number of number of subscriptions to the Dorchester Daily is declining. The rate in percentage is 100 - 82 = 12% each year.

x represents the number of years since the trend has been observed.

3 0

3 years ago

Michelle brought an apple cut in 4 for $0.10 per piece. How much should she pay for 3 dozen pieces

Leya [2.2K]

Answer:

$0.90

Step-by-step explanation:

$\frac{4}{10}=0.4$

3 dozen = 36

$\frac{36}{0.4} =\frac{y}{0.1}$

0.4 × y = 36 × 0.1

0.4y = 3.6

0.4y ÷ 0.4 = 3.6 ÷ 0.4

y = 9

5 0

3 years ago

Identify a horizontal or vertical stretch or compression of the function f(x) = x by observing the equation of the function g(x)

Sunny_sXe [5.5K]

The vertical stretch of f(x) to g(x) is a factor of 5

<h3>How to determine the dilation?</h3>

The functions are given as:

f(x) = x

g(x) = 5x

Substitute f(x) = x in g(x) = 5x

g(x) = 5f(x)

In th above equation, the factor is 5.

5 is greater than 1 (this means vertical stretch)

Hence, the vertical stretch of f(x) to g(x) is a factor of 5