Question

The following table shows the relationship between the time taken to perform the jumps by Maria. Determine whether the number of jumps is proportional to the number of seconds. If the relationship is proportional, identify the constant of proportionality.

Time (seconds)
45

60

105

141

174

Jumps completed by Maria
15

20

35

47

58

Question 8 options:

not proportional; 3

proportional; 3

not proportional;

proportional;

Answer 1

so

she jumps once every 3 seconds

Answer 2

The correct option is B) proportional; 3

Explanation:

Consider the provided table.

The constant of proportionality (k) is equal to y/x.

For the provided table the constant of proportionality will be:

`k=(Time)/(Jumps)`

Now find the proportionality as shown:

Time (seconds) Jumps proportionality
`k=(Time)/(Jumps)`

45 15
`k=(45)/(15)=3`

60 20
`k=(60)/(20)=3`

105 35
`k=(105)/(35)=3`

141 47
`k=(141)/(47)=3`

174 58
`k=(174)/(58)=3`

That means Maria can jump once in 3 second.

Hence, the above table is proportional; 3

Therefore, the correct option is B) proportional; 3