The following table shows a proportional relationship between aaa and bbb.
aaa bbb
888 333
242424 999
404040 151515
Write an equation to describe the relationship between aaa and bbb.
Answers
Answer:
B=3/8a
ok this is the answer
Answer:
3a/8
Step-by-step explanation:
Let's find the constant of proportionality.
In the proportional relationship between a and b, one constant of proportionality is the number we multiply by a to get b.
a\, \times\, ?= b a×?=b
aa b Relationship
888 333 {8}\times\blue D{\{3}{8}}=38×
8
3
=38, times, start color #11accd, start fraction, 3, divided by, 8, end fraction, end color #11accd, equals, 3
242424 999 {24}\times\blue D{\d f r a c{3}{8}}=924×
8
3
=924, times, start color #11accd, start fraction, 3, divided by, 8, end fraction, end color #11accd, equals, 9
404040 151515 {40}\times\ blue D{\ d f r ac{3}{8}}=1540×
8
3
=1540, times, start color #11accd, start fraction, 3, divided by, 8, end fraction, end color #11accd, equals, 15
The constant of proportionality is \ blue D{\ d f r ac {3}{8}}
8
3
start color #11accd, start fraction, 3, divided by, 8, end fraction, end color #11accd. This means we can multiply \blueD{\dfrac{3}{8}}
8
3
start color #11accd, start fraction, 3, divided by, 8, end fraction, end color #11accd by a to get b.
Now, let's represent that as an equation.
\begin{aligned} {b}&=\ blue D {\text{constant of proportionality}}\times{a} \\\\ {b}&=\blue D{\d f r ac{3}{8}}a \end{aligned}
b
b
=constant of proportionality ×a
=
8
3
a
One correct equation is:
b=\{3}{8}ab=
8
3
a
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