Question

Iliana’s math grade increased from 65 to 86. Fiona’s math grade increased from 70 to 80. What is the difference, rounded to the nearest whole number, between the approximate percent increases?

Answer 1

Answer with Step-by-step explanation:

Percentage increase in score is calculated by the formula:

`(New\ score-Old\ score)/(Old\ score)* 100`

Iliana’s math grade increased from 65 to 86.

Percentage increase in Iliana's score is:

`(86-65)/(65)* 100`

=
`(21)/(65)* 100`

=32.31%

Fiona’s math grade increased from 70 to 80.

Percentage increase in Fiona's score is:

`(80-70)/(70)* 100`

=
`(10)/(70)* 100`

=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%

Answer 2

18 points

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)