Question

The function $y=2x+8$y=2x+8​ represents the cost $y$y​ (in dollars) of a large pizza with $x$x​ toppings, where $x$x​ is equal to 0, 1, 2, or 3. Identify the independent and dependent variables, the domain, and the range.

Answer 1

Explanation:

The function that represents the cost of pizza with toppings as follows :

y = 2x+8 ...(1)

Where x = 0,1,2 and 3

Here, y depends on x it means y depends on x. y is a dependent variable and x is independent variable.

Domain is the set of input values and range is the output values.

Domain = 0,1,2 and 3

Now, put x = 0 in function (1)

y = 2(0)+8 = 8

Put x = 1 in function (1)

y = 2(1)+8 = 10

Put x = 2 in function (1)

y = 2(2)+8 = 12

Put x = 3 in function (1)

y = 2(3)+8 = 14

So, the range of the function is 8,10,12,14.