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Reika [66]
3 years ago
15

Jessica Reads a story about a turtle that swam 16 feet in 24 seconds. She assumes that the time that it takes the turtle to swim

a distance of d feet is a proportional relationship. Jessica starts to create the table shown for other times and distances the turtle swam. Enter the missing numbers in the tableto represent the proportional relationship

Mathematics
1 answer:
Zigmanuir [339]3 years ago
5 0

Answer:

Time (secs) => distance (ft)

1 => ⅔

15 => 10

24 => 16

45 => 30

Step-by-step explanation:

Equation to represent this proportional relationship is d = tk, where,

t = time

d = distance

k = constant of proportionality

To complete the table, let's find k given that the turtles swarm 16 ft (d) in 24 secs (t).

Substitute d = 16, t = 24 into the equation.

d = tk

16 = 24k

\frac{16}{24} = k (division property of equality)

\frac{2}{3} = k

Let's complete the table by substituting the value of k and the other given value of t or d, as the case may be:

For 1 sec, let's find distance (d):

d = tk

d = 1*\frac{2}{3}

d = ⅔ ft

For 10 ft, let's find the time (t) taken:

d = tk

10 = t*\frac{2}{3}

Multiply both sides by 3

10*3 = t*\frac{2}{3}*3

30 = t*2

Divide both sides by 2

\frac{30}{2} = \frac{t*2}{2}

15 = t

t = 15 secs

For 45 secs, let's find distance (d):

d = tk

d = 45*\frac{2}{3} = 15*2

d = 30 ft

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