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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.

Respuesta :

PDV
0.625
16
19.230769
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Answer:

Time(t)      Distance(d)

   1                   0.625

  16                   10

   30                  18.75

   40                  25

Step-by-step 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.

[tex]\frac{1}{40} = \frac{a}{25}[/tex]

Cross multiplying, we get

1(25) = a(40)

25 = 40a

a = [tex]\frac{25}{40} = 0.625[/tex]

a = 0.625

Now let's find b.

[tex]\frac{b}{40} = \frac{10}{25}[/tex]

25b = 40(10)

25b = 400

Dividing both sides by 25, we get

b = [tex]\frac{400}{25} = 16[/tex]

The value of b = 16

Now let's find c.

[tex]\frac{30}{40} = \frac{c}{25}[/tex]

30(25) = 40c

40c = 750

Dividing both sides by 40, we get

c = [tex]\frac{750}{40} = 18.75[/tex]

The value of c = 18.75

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