Question

clint’s salary increased from $24,000 to $31,200 over a three-year period. helen’s salary increased from $28,000 to $36,400 over the same period. whose salary increased more in absolute terms? in relative terms? explain. whose salary increased more in absolute terms? select the correct choice below and fill in the answer box(es) to complete your choice. a. clint’s salary increased more, because his salary increased by $□. this is more than $□, the amount that helen’s salary increased. b. helen’s salary increased more, because her salary increased by $□. this is more than $□, the amount that clint’s salary increased. c. neither person’s salary increased more, because both of their salaries increased by $□.

Explanation:

Step1: Calculate Clint's absolute increase

Clint's initial salary is $24,000 and final is $31,200. Absolute increase = Final - Initial = $31,200 - $24,000 = $7,200.

Step2: Calculate Helen's absolute increase

Helen's initial salary is $28,000 and final is $36,400. Absolute increase = $36,400 - $28,000 = $8,400.

Step3: Compare absolute increases

$8,400 (Helen's increase) is more than $7,200 (Clint's increase).

For relative terms (percentage increase):

Step4: Calculate Clint's percentage increase

Percentage increase = $\frac{\text{Absolute Increase}}{\text{Initial Salary}} \times 100$ = $\frac{7200}{24000} \times 100$ = 30%.

Step5: Calculate Helen's percentage increase

Percentage increase = $\frac{8400}{28000} \times 100$ = 30%.

Answer:

Absolute Terms:

B. Helen’s salary increased more, because her salary increased by $8400. This is more than $7200, the amount that Clint’s salary increased.

Relative Terms:

Neither person’s salary increased more in relative terms, because both had a 30% increase.