The balance of Jason's checking account is $480. The balance varies by as much as $80 each week Use an absolute value inequality to find the range of possible balances in Jason's checking account

The balance can vary between $400 and $560

Step-by-step explanation:

The actual balance of Jason's checking account is $480.

Any funds coming in or out of the account is represented by the variable x.

The possible balances in the account can be represented by:

480+x

where x is positive if funds are coming in, or negative if funds are going out.

This variation cannot be more than $80. The inequality representing the situation is:

| x | ≤ 80

Recall if |A| ≤ B, then

-B ≤ A ≤ B

Applying to the inequality:

-80 ≤ x ≤ 80

Adding 480:

480-80 ≤ 480 + x ≤ 480 + 80

400 ≤ 480 + x ≤ 560

The balance can vary between $400 and $560

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:

answer: 486in^2

step-by-step explanation: