Question

Mike and Julie surveyed students to determine how many had a grade of A in math. They recorded their findings for each survey in the table below.

Students with an A in Math
Number of A grades                                       Number of students surveyed
           20
                                                                                             4
           40
                                                                                             8
            60
                                                                                            12
             80
                                                                                            16

What is the constant of proportionality of the ratio of students surveyed to the number of A grades?
0.2
0.5
2
5

Answer 1

Option D 5

Explanation:

Mike and Julie surveyed students to determine how many had a grade of A in math as given in the table.

We have to find the proportionality constant of the ratio of students surveyed to the number of A grades.

Since proportionality constant =
`\frac{\text{Students Surveyed}}{\text{number of A grades}}`

=
`(20)/(4)=5`

Similarly we can get the constant form other data which is equal to 5.

Therefore, Option D. 5 is the correct option.

Answer 2

20/4 = 5

40/8 = 5

60/12 = 5

80/16 = 5

Answer is 5