Question

Grant reads a story about a turtle that swam 25 feet in 40 seconds. He assumes the time, t, that it takes the turtle to swim a distance of d, feet is a proportional relationship. Grant starts to create the table shown for other times and distances the turtle swims. Enter the missing numbers in the table to represent the proportional relationship.

t d
1 _
_ 10
30 _
40 25
Fill in the blank.

Answer 1

0.625
16
19.230769
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Answer 2

Time(t) Distance(d)

1 0.625

16 10

30 18.75

40 25

Explanation:

We are given table values and they are in proportional relationship.

Time(t) Distance(d)

1 a

b 10

30 c

40 25

Since they are in proportional relationship. Let's form a proportion and missing values (a, b , c) using t = 40 and d = 25.

`(1)/(40) = (a)/(25)`

Cross multiplying, we get

1(25) = a(40)

25 = 40a

a =
`(25)/(40) = 0.625`

a = 0.625

Now let's find b.

`(b)/(40) = (10)/(25)`

25b = 40(10)

25b = 400

Dividing both sides by 25, we get

b =
`(400)/(25) = 16`

The value of b = 16

Now let's find c.

`(30)/(40) = (c)/(25)`

30(25) = 40c

40c = 750

Dividing both sides by 40, we get

c =
`(750)/(40) = 18.75`

The value of c = 18.75