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, \(y =2x+10\)
