# What is the domain and range if pizzas are sold at $2.50 a slice and the initial cost for it is$350.00?

Nov 23, 2017

Domain: $\left[140 , + \infty\right)$
Range: $\left[350 , + \infty\right)$

#### Explanation:

The "domain" is essentially the independent variable (number of slices in this case) and the "range" is the extent of the dependent variable (total cost in this case). They are linked by the conditions of the price and initial cost. Without an upper limit, both the domain and range will start at the minimum defined by the parameters and extend to infinity.

The function is $C = P \times S$
The initial point is $350.00 = 2.50 \times S$, so $S = 140$ pieces.

We now can state the domain as $\left[140 , + \infty\right)$ and the range as $\left[350 , + \infty\right)$