Question

clints salary increased from $20,000 to $30,000 over a three-year period. helens salary increased from $29,000 to $43,500 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. clints salary increased more, because his salary increased by $__. this is more than $__, the amount that helens salary increased.
b. helens salary increased more, because her salary increased by $14,500. this is more than $10,000, the amount that clints salary increased.
c. neither persons salary increased more, because both of their salaries increased by $__.

whose salary increased more in relative terms? select the correct choice below and fill in the answer box(es) to complete your choice.
a. clints salary increased more, because his salary increased by %. this is more than the percent increase of helens salary, which is %.
b. helens salary increased more, because her salary increased by %. this is more than the percent increase of clints salary, which is %.
c. neither persons salary increased more, because both of their salaries increased by __%

Explanation:

Step1: Calculate absolute increase for Clint

$\$30,000 - \$20,000 = \$10,000$

Step2: Calculate absolute increase for Helen

$\$43,500 - \$29,000 = \$14,500$

Step3: Compare absolute increases

$\$14,500 > \$10,000$, so Helen's absolute increase is larger.

Step4: Calculate Clint's relative increase

$\frac{\$10,000}{\$20,000} \times 100\% = 50\%$

Step5: Calculate Helen's relative increase

$\frac{\$14,500}{\$29,000} \times 100\% = 50\%$

Step6: Compare relative increases

$50\% = 50\%$, so their relative increases are equal.

Answer:

Whose salary increased more in absolute terms?
B. Helen's salary increased more, because her salary increased by $\$14,500$. This is more than $\$10,000$, the amount that Clint's salary increased.

Whose salary increased more in relative terms?
C. Neither person's salary increased more, because both of their salaries increased by $50\%$