The value of y varies directly with x and y= 7.2 when x= 1.6, find y when x=2.4

When x = 2.4, we have y = 10.8

Step-by-step explanation:

A direct variation of two variables, x, and y, can be written as:

y = k*x

Where k is a constant, called the constant of variation.

We know that y = 7.2, when x = 1.6

Then we can replace these two in the above equation to get:

7.2 = k*1.6

Now we can solve this for k:

7.2/1.6 = k = 4.5

Then our relation is:

y = 4.5*x

Now we want to find the value of y, when x = 2.4

Then we just need to replace x by 2.4 in the above equation:

y = 4.5*(2.4) = 10.8

y = 10.8

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step-by-step explanation:

part a

x     y

0     8

1     7.5

2     7

3     6.5

4     6

5     5.5  

for every hour i deducted .5 inches from the length of the candle

part b

it is a function because for every x value there is only one y value

part   c

for every x value there is only one y value

x       y

0       8

1       7.6

2       7.2

3       6.8

step-by-step explanation: