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4. the table below shows average milk prices at the local grocery store…

Question

  1. the table below shows average milk prices at the local grocery store for the past 5 years.
yearprice
2012$2.45
2013$3.15
2014$2.50
2015$3.40

from 2010 to 2011, the average price of a gallon of milk increased by 14%. what was the average price of a gallon of milk in 2010?
f. $2.07
g. $2.11
h. $2.22
j. $2.30
k. $2.69

  1. the table below shows the delivery charge per mile for polly’s pizzeria over the past 3 months.
month 1month 2month 3

by how much did the delivery charge increase from month 2 to month 3?
a. 9%
b. 12%
c. 18%
d. 25%
e. 80%

  1. employees at anderson manufacturing receive a raise of 4.5% at the end of each year. an employee with an annual salary of $46,000.00 this year will have what annual salary next year?

f. $46,004.50
g. $46,045.00
h. $48,070.00
j. $56,682.00
k. $64,722.00

Explanation:

Step1: Define 2010 price variable

Let $x$ = 2010 milk price.

Step2: Set up percentage increase equation

2011 price = $x \times (1 + 0.14)$, so:
$1.14x = 2.36$

Step3: Solve for $x$

$x = \frac{2.36}{1.14} \approx 2.07$

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Step1: Calculate charge difference

Month 3 - Month 2: $0.45 - 0.36 = 0.09$

Step2: Find percentage increase

$\text{Increase \%} = \frac{0.09}{0.36} \times 100\% = 25\%$

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Step1: Calculate raise amount

$\text{Raise} = 46000 \times 0.045 = 2070$

Step2: Compute new salary

$\text{New Salary} = 46000 + 2070 = 48070$

Answer:

  1. F. $2.07
  2. D. 25%
  3. H. $48,070.00