Question

I need help with this

Answer 1

By finding the proportional relation, we can get the complete table:

time (hours)    rain (inches)

1.43                               1

1                                0.7

5                               3.5

9.5                              6.56

x                                0.7*x

How to complete the given table?

Here we need to complete the table:

time (hours)    rain (inches)

a                               1

1                                b

5                               3.5

9.5                              c

x                                d

We know that the rain and the time must meet a proportional relationship, so if y is the rain in inches and x is the time in hours, the relation is:

y = k*x

Where k is the constant of proportionality.

We know that after 5 hours, 3.5 inches of rain have fallen, then we can replace that in the above formula:

3.5  = k*5

3.5/5  = k

0.7= k

Then the proportional relation is:

y = (0.7)*x

Now let's complete the table. On the first pair we have:

x = a, y = 1

Replacing that in the proportional relation we can find the value of a.

1 = 0.7*a

1/0.7 = a = 1.43

For the next pair, we have x = 1, y = b

b = 0.7*1 = 0.7

the next pair is x = 9.5, y = c

c = 0.7*9.5 = 6.65

The last pair is just the prooortional relationship:

d = y = 0.7*x

Then the complete table is:

time (hours)    rain (inches)

1.43                               1

1                                0.7

5                               3.5

9.5                              6.56

x                                0.7*x

If you want to learn more about proportional relationships:

brainly.com/question/12242745

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