MATH SOLVE

4 months ago

Q:
# Evelyn has $524.96 in her checking account. She must maintain a $500 balance to avoid a fee. She wrote a check for $32.50 today. Write and solve an inequality to solve for the least amount of money she needs to deposit to avoid a fee. Select one:a. 524.96 − 32.50 + x ≥ 500; x ≥ $7.54b. 524.96 − 32.50 + x ≤ 500; x ≤ $7.54c. 524.96 + 32.50 − x ≥ 500; x ≥ $57.46d. 524.96 + 32.50 − x ≤ 500; x ≤ $57.46(20 points)

Accepted Solution

A:

Evelyn has $524.96 in her checking account.

She wrote a check for $32.50 today. She left only 524.96-32.50

And call amount of money she needs to deposit is x and she has now 524.96-32.50+x

But She must maintain a $500 balance to avoid a fee, so we need:

524.96-32.50+x≥500

Solve:

492.46+x≥500 or x≥500-492.46

and x ≥ $7.54

And the answer is a) 524.96 − 32.50 + x ≥ 500; x ≥ $7.54

She wrote a check for $32.50 today. She left only 524.96-32.50

And call amount of money she needs to deposit is x and she has now 524.96-32.50+x

But She must maintain a $500 balance to avoid a fee, so we need:

524.96-32.50+x≥500

Solve:

492.46+x≥500 or x≥500-492.46

and x ≥ $7.54

And the answer is a) 524.96 − 32.50 + x ≥ 500; x ≥ $7.54