Answer:
18 points
Step-by-step explanation:
We first need to find the percent increase for both Iliana an Fiona.
To do so, we take the absolute value of difference (the score increase) and we compare/divide it by the original score they had.
So, for Iliana, we have a starting score of 65 and an increase of 21 (86-65).
Her percent of increase is 21/65 = 32.3%
For Fiona, she went from 70 and had a 10 points increase (80-70).
Her percent of increase is 10/70 = 14.3%
The difference between the two percent of increase is 18 points (32.3 - 14.3)
Answer with Step-by-step explanation:
Percentage increase in score is calculated by the formula:
[tex]\dfrac{New\ score-Old\ score}{Old\ score}\times 100[/tex]
Iliana’s math grade increased from 65 to 86.
Percentage increase in Iliana's score is:
[tex]\dfrac{86-65}{65}\times 100[/tex]
=[tex]\dfrac{21}{65}\times 100[/tex]
=32.31%
Fiona’s math grade increased from 70 to 80.
Percentage increase in Fiona's score is:
[tex]\dfrac{80-70}{70}\times 100[/tex]
=[tex]\dfrac{10}{70}\times 100[/tex]
=14.28%
Difference between percentage increases=32.31%-14.28%
= 18.03%
Hence, difference, rounded to the nearest whole number, between the approximate percent increases is:
18%
