Question

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

Answer 1

10/x I think but I am not sure

Answer 2

Let y represents the cost of a pizza.

here, x represents the number of topping.

Using slope-intercept form:

The equation of line is given by:

`y = mx+b` .....[1]

where, m is the slope of the line and b is the y-intercept.

From the given table:

Consider coordinates in the form of (x, y)

i,e (1, 12) and (2, 14)

Calculate slope:

`\text{Slope (m)} = (y_2-y_1)/(x_2-x_1)`

Substitute the given points we have;

`m = (14-12)/(2-1) = (2)/(1) = 2`

Substitute this in [1] we have;

`y =2x+b`

Substitute any point from the given table to find b:

Substitute (4, 18) we get;

`18 = 2(4) +b`

18 = 8+b

Subtract 8 from both sides we have;

10 = b

or

b = 10

⇒
`y =2x+10`

therefore, function rule represents the given data table is,
`y =2x+10`