Answer:
The system of equations will be:
p(x) = 0.9x + 6.80
m(x) = 0.65x + 7.30
Hence, option D is correct.
Explanation:
The slope-intercept form of the linear equation
f(x) = mx+b
where
- m is the rate of change or the slope
Analyzing Papa's Pizzeria p function:
Given that A large pizza at Papa's Pizzeria cost $6.80 plus $0.90 for each topping.
- Let p is the function of Papa's Pizzeria.
As the fixed cost or initial cost of Papa's Pizzeria is $6.80.
- Thus, the y-intercept b = 6.80
As Papa's Pizzeria offers $0.90 for each topping.
- Thus, the rate of change or slope m = 0.9
We know that the slope-intercept form of the linear equation
f(x) = mx + b
In this case, the function is m.
now substituting m = 0.9 and b = 6.80 in the slope-intercept form of linear equation
p(x) = 0.9x + 6.80
Thus, the equation that represents the Papa's Pizzeria topping and cost model.
p(x) = 0.9x + 6.80
Analyzing Papa's Pizzeria p function:
Given that a large cheese pizza at Mama's Pizza costs $7.30 plus $0.65 for each topping.
- Let m is the function of Mam's Pizzeria.
As the fixed cost or initial cost of Mama's Pizza is $7.30.
- Thus, the y-intercept b = 7.30
As Mama's Pizza offers $0.65 for each topping.
- Thus, the rate of change or slope m = 0.65
We know that the slope-intercept form of the linear equation
f(x) = mx + b
In this case, the function is m.
now substituting m = 0.65 and b = 7.30 in the slope-intercept form of linear equation
m(x) = 0.65x + 7.30
Thus, the equation that represents the Mama's Pizza topping and cost model.
m(x) = 0.65x + 7.30
Conclusion:
The equation that represents the Papa's Pizzeria topping and cost model.
p(x) = 0.9x + 6.80
The equation that represents the Mama's Pizza topping and cost model.
m(x) = 0.65x + 7.30
Thus, the system of equations will be:
p(x) = 0.9x + 6.80
m(x) = 0.65x + 7.30
Hence, option D is correct.