If y varies jointly with x and z, and y = 200 when x = 8 and z = 10, what is x when y = 165 and z = 11? what is the value of k?

The answer is 2.5

The next blank is 6

Joint variation states:

if y varies jointly with x and z

then the equation we get;

where, k is the constant of variation.

As per the statement:

If y varies jointly with x and z

Using above definition we have;

⇒       ....[1]

y = 200 when x = 8 and z = 10

Substitute these value in [1]  to solve for k;

⇒

Divide both sides by 80 we have;

2.5 = k

or

k = 2.5

then we get an equation:

We have to find x when y = 165 and z = 11.

then;

⇒

Divide both sides by 27.5 we have;

6 = x

or

x = 6

Therefore, the value of k = 2.5  and value of x is 6 when  y = 165 and z = 11.

part a

in a city ice cream is mostly only bought when the temperature is very high as ice cream cools down our

so we can derive the conclusion that as the temperature increases the number of ice creams sold also increases

part b

y intercept is 5

slope is 2

happy to

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