In 1991, there were 41,944 shopping centers in a certain country. In 2001, there were 48,389. Write an equation expressing the number y of shopping centers in terms of the number x of years after 1991.

The equation representing  the number  of shopping centers

y = 644.5 x + 41944

Step-by-step explanation:

Given data

In 1991, there were 41,944 shopping centers in a certain country & in 2001, there were 48,389.

Slope (m) =

m = 644.5

Intercept C = 41944

The equation expressing the number y of shopping centers in terms of the number x of years after 1991 is

y = m x + C ------- (1)

Put the values of m & C in equation (1)

y = 644.5 x + 41944

This is the equation representing  the number  of shopping centers.

answer: solve 5\cdot 2^x=2405⋅2  

x

=2405, dot, 2, start superscript, x, end superscript, equals, 240.

solution

to solve for xxx, we must first isolate the exponential part. to do this, divide both sides by 555 as shown below. we do not multiply the 555 and the 222 as this goes against the order of operations!

\begin{aligned} 5\cdot 2^x& =240 2^x& =48 \\ \end{aligned}  

5⋅2  

x

2  

x

​    

=240

=48

​

step-by-step explanation: