Question

Help me please I'm so stuck lol 15 pts.!!

Answer 1

r = 0.1

Explanation:

Constant proportionality or slope(rate of change) is found by Y divided by X.

1.4(y) ÷ 14(x) = 0.1(slope)

1.6(y) ÷ 16(x) = 0.1(slope)

2.1(y) ÷ 21(x) = 0.1(slope)

Check Work:

14 x 0.1 = 1.4

16 x 0.1 = 1.6

21 x 0.1 = 2.1

Answer 2

1/10.

Explanation:

The proportionality equation is given to you:
`y = rx`

Next, plug in the given
`x` and
`y` variables into the equation:

When:
`x = 14` &
`y = 1.4`

`1.4 = r(14)\\1.4 = 14r\\(1.4)/14 = (14r)/14\\1.4/14 = r\\r = 0.1`

When:
`x = 16` &
`y = 1.6`

`1.6 = r(16)\\1.6 = 16r\\(1.6)/16 = (16r)/16\\r = 1.6/16\\r = 0.1`

When:
`x = 21` &
`y = 2.1`

`2.1 = r(21)\\`

`21r = 2.1\\(21r)/21 = (2.1)/21\\r = 2.1/21\\r = 0.1`

r = 0.1 in all of the given, ∴ 0.1 is your answer. Change the decimal into a fraction:

0.1 = 1/10

1/10 is your answer.

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