Question

5. A student is monitoring her grade in math class. At the end of two weeks, her grades is a 67%. She checks at the end
of the fifth week of the year and now has a 73%. How many weeks will it take for the student to have a 93% in class?



Show work.

Answer 1

Answer:

15 weeks

Step-by-step explanation:

From the second to fifth week, her grade increased from 67% to 73%. Calculate how much her grade increased. Subtract the grades

73% - 67% = 6%

Calculate how long it took to increase by that much. Subtract the weeks

5 - 2 = 3 weeks

It took 3 weeks to increase 6%.

Find the rate of increase per week. Divide the grade increase by time

6% ÷ 3wk = 2%/wk

Calculate how much her grade needs to increase from 73%.

93% - 73% = 20%

Divide how much the grade needs to increase by the rate to find the number of weeks.

20% ÷ 2%/wk = 10 weeks

Since she has 73% at 5 weeks, add 5 weeks to 10 weeks.

5 + 10 = 15

It will take 15 weeks for the student to have a 93% in class.