Question

the number of math problems phaedra has completed varies directly with the amount of time she has been working on homework. She completed 8 in the first 6 minutes. how many will she have completed after 27 minutes?A 20B 29C 35D 36

Answer 1

The number of math problems phaedra has completed varies directly with the amount of time she has been working on homework.

`\begin{gathered} \text{ Number of Math Problem }\propto\text{ Amount of time} \\ \text{Number of Math Problem =k(Amount of time),} \\ \text{where, k is the proportianlity constant} \end{gathered}`

She completed 8 in the first 6 minutes.

8 questions are done in 5 minutes

thue the proportion ratio is express as

Number of maths problem = k(amount of time)

8 = k(6)

8 = 6k

Divide both side by 6 :

k = 8/6

Now, for 27 minutes, let number of questions are y :

Number of maths problem = k(amount of time)

y = k(27)

substitute the value of k = 8/6

`\begin{gathered} y=27k \\ y=27*(8)/(6) \\ y=27*(4)/(3) \\ y=9*4 \\ y=36 \\ \text{Number of questions = 36} \end{gathered}`

Number of questions done in 27 minutes are 36

Answer : D) 36