Question

the table shows the cost of pizza based on the number of toppings .write a function to find the cost for pizza with x toppings

Answer 1

`f(x)=2x+10`

Explanation:

The given tables shows a relation that can be transform into a function.

From the table we deduct that each toppings cost $2, because for 1 topping is $12, for 2 is $14, for 3 is $16, and so on. So, the ratio of change is

`m=(\Delta y)/(\Delta x)=(2)/(1)=2`

Where
`y` represents the cost and
`x` represents the number of toppings.

Now, we use one pair from the graph (1,12), the ratio of change and the point-slope formula to find the function

`y-y_(1)=m(x-x_(1))\\y-12=2(x-1)\\y=2x-2+12\\y=2x+10`

Therefore, the function that expresses the given situation is

`f(x)=2x+10`

Where
`y=f(x)`

Answer 2

10 (the price of the pizza) + 2x (the amount of money the cost goes up by)

The function would be
= 10 + 2x

So if you wanted 3 toppings let’s say, you would input 3 into the equation replacing the x.

10 + 2(3) [replacing the x with 3 because that’s the amount of toppings you want]

Then you time 2 by 3 which is 6 and add it to 10, to give you 16.