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:
[tex]y = mx+b[/tex] .....[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:
[tex]\text{Slope (m)} = \frac{y_2-y_1}{x_2-x_1}[/tex]
Substitute the given points we have;
[tex]m = \frac{14-12}{2-1} = \frac{2}{1} = 2[/tex]
Substitute this in [1] we have;
[tex]y =2x+b[/tex]
Substitute any point from the given table to find b:
Substitute (4, 18) we get;
[tex]18 = 2(4) +b[/tex]
18 = 8+b
Subtract 8 from both sides we have;
10 = b
or
b = 10
⇒[tex]y =2x+10[/tex]
therefore, function rule represents the given data table is, [tex]y =2x+10[/tex]
