Question

a paintball Court charges an initial entrance fee plus a fixed price for ball pease represents the total price n dollars as function of the number of balls used in p equals 0.80 n + 5.50

Answer 1

The question involves creating a linear equation to represent a cost function for a paintball court, where the initial fee and fixed price per ball are given, forming an equation of p = 0.80n + 5.50. A similar cost function can be created for a tutoring school with a one-time fee and annual tuition, represented by the equation C = 3000y + 500.

Step-by-step explanation:

The student's question is related to creating a linear equation to represent a cost function. In this case, the function is given by p = 0.80n + 5.50, which represents the total price in dollars (p) as a function of the number of paintballs (n) used. The initial entrance fee is represented by $5.50, and the fixed price per ball is $0.80, making up the slope of the function.

Similarly, another example of a linear cost function is for a tutoring school, which can be expressed by the equation C = 3000y + 500, where 'C' is the total cost in dollars and 'y' is the number of years of tuition. Here, $500 is the one-time enrollment fee, while $3000 represents the annual tuition cost.

Answer 2

The complete question is;

A paintball court charges an initial entrance fee plus a fixed price per ball.

P represents the total price (in dollars) as a function of the number of balls used n.

P = 0.80n + 5.50

How much do 10 balls cost?

Answer:

Cost of 10 balls = 8 dollars

Step-by-step explanation:

We are told that;

total price in dollars is given as a function of the number of balls

p = 0.8n + 5.5

Where n is number of balls.

We are told that the price above is price of number of balls plus entrance fee.

Thus, 5.5 dollars is the entrance fee while 0.8n dollars is the price for n number of balls.

Thus,for 10 balls,

Price of 10 balls will be 0.8 x 10 = 8 dollars