If y varies directly as x and y = 5 when x = 8, find y when x = 9. a. 75/2 b. 45/8 c. 40/9 d. 6

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ihateschoolsomuch53 ihateschoolsomuch53 · Answer 1 · 2020-10-12T18:15:47+02:00

Step-by-step explanation:

first derive a formula from that expression

y=kx

in this case k its a constant so we will find a constant first in order to derive a formula

substitute the variables with numbers been given

5=k(8) then make k subject of the formula

k=58 then make a formula from the constant

y= 58x

now this is your direct linear equation y= 58x

then use that equation in order to find the x value

finding x value, substitute the formula with the value given in this case y=15

then

y= 58x

15= 0.625x

150.625=x

24=x

therefore x =24

Alyssa8889 Alyssa8889 · Answer 2 · 2020-10-15T00:36:42+02:00

Alyssa8889 Alyssa8889

X= 24 because y=Kx and 5=k(8) so then that means k=58. Now y=58 then multiply and get y=15 once u distribute. Y =58

15= 0.625x

150.625=x

24=x

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