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

Answer:

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:

$\text{Slope (m)} = \frac{y_2-y_1}{x_2-x_1}$

Substitute the given points we have;

$m = \frac{14-12}{2-1} = \frac{2}{1} = 2$

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, $y =2x+10$

Answer 2

10/x I think but I am not sure