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

Help me please I'm so stuck lol 15 pts.!!-example-1
User Sarkiroka
by
8.8k points

2 Answers

6 votes

Answer:

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

User Uinstinct
by
7.6k points
2 votes

Answer:

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.

~

User Guigouz
by
8.4k points

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