Answer:
Part 1) [tex]168.8\%[/tex]
Part 2) [tex]12.6\%[/tex]
Part 3) [tex]\$7,046.15[/tex]
Part 4) [tex]116.67[/tex]
Part 5) [tex]0.6\%[/tex]
Part 6) [tex]\$570[/tex]
Step-by-step explanation:
Part 1) Solve for the rate (as a %). Round to the nearest tenth of a percent when necessary.
What percent of 1,600 is 2,700?
Let
x ----> the rate
In this problem the base ( number that represent the 100%) is 1,600 and the portion is 2,700
so
using proportion
[tex]\frac{100\%}{1,600}=\frac{x\%}{2,700}\\\\x=2,700*(100)/1,600\\\\x= 168.75\%[/tex]
Round to the nearest tenth of a percent
[tex]168.75\%=168.8\%[/tex]
Part 2) Solve for the rate (as a %). Round to the nearest tenth of a percent when necessary.
$7.40 is what percent of $58.90?
Let
x ----> the rate
In this problem the base ( number that represent the 100%) is $58.90 and the portion is $7.40
so
using proportion
[tex]\frac{100\%}{\$58.90}=\frac{x\%}{\$7.40}\\\\x=7.40*(100)/58.90\\\\x= 12.56\%[/tex]
Round to the nearest tenth of a percent
[tex]12.56\%=12.6\%[/tex]
Part 3) Solve for the base (in $). Round to hundredths when necessary.
What is the base if the portion is $4,580 and the rate is 65%?
Let
x -----> the base
using proportion
[tex]\frac{\$x}{100\%}=\frac{\$4,580}{65\%}\\\\x=4,580*100/65\\\\x=\$7,046.15[/tex]
Part 4) Solve for the base. Round to hundredths when necessary.
140 is 120% of what number?
Let
x -----> the base
In this problem the rate is 120% and the portion is 140
using proportion
[tex]\frac{x}{100\%}=\frac{140}{120\%}\\\\x=140*100/120\\\\x=116.67[/tex]
Part 5) Solve the word problem for the portion, rate, or base.
A quality control process finds 46.8 defects for every 7,800 units of production. What percent of the production is defective?
Find for the rate
Let
x -----> the rate
In this problem the base is 7,800 units and the portion is 46.8
using proportion
[tex]\frac{100\%}{7,800}=\frac{x\%}{46.8}\\\\x=46.8*(100)/7,800\\\\x= 0.6\%[/tex]
Part 6) A medical insurance policy requires Ana to pay the first $100 of her hospital expense. The insurance company will then pay 90% of the remaining expense. Ana is expecting a short surgical stay in the hospital, for which she estimates the total bill to be about $4,800. How much (in $) of the total bill will Ana owe?
step 1
Find the 90% of the remaining expenses
$4,800-$100=$4,700 -----> remaining expenses
In this part $4,700 is the base, the rate is 90%
Find the portion
Let
x -----> the portion
using proportion
[tex]\frac{\$x}{90\%}=\frac{\$4,700}{100\%}\\\\x=90*4,700/100\\\\x=\$4,230[/tex]
step 2
Find out the total bill that Ana will owe
[tex]\$4,700-\$4,230=\$470[/tex]
[tex]\$470+\$100=\$570[/tex]
