Student Council is selling candy grams. They are using the formula
y=2.5x to determine y, the profit earned, for x candy grams. They have
to sell between 55 and 60 candy grams to meet their goal. Find the
domain and range of this situation.

Respuesta :

Answer:

Our equation is:

y = f(x) = 2.5*x

The domain is the set of the values of x.

The range is the set of the values of y.

They must sell between 55 and 60 candy grams to meet their goal.

If we assume these as restrictions for the domain, then the minimum value of x is 55, and the maximum value of x is 60.

Then the domain is:

D: 55 ≤ x ≤ 60.

Now that we know the domain, we can find the range.

As our equation is linear with a positive coefficient, the minimum in the range will coincide with the minimum in the domain, then we have:

y = 2.5*55 = 137.5

And the maximum will coincide with the maximum in the domain:

y = 2.5*60 = 150.

Then the range is:

y = 137.5 ≤ y ≤ 150