Math, asked by joyceg, 8 months ago

Solve the following problems.
1. At Joe's pizzeria a pizza cost $5 with the first topping, and then an additional 75 cents for each additionnal
topping
a. If x represents the number of toppings on a pizza, What function represents the cost of a pizza with at least one
topping?
b. What will be the function rule of the problem?
c. What will be the domain and range of the problem?​

Answers

Answered by knjroopa
17

Step-by-step explanation:

Given At Joe's pizzeria a pizza cost $5 with the first topping, and then an additional 75 cents for each additional  topping  

a. If x represents the number of toppings on a pizza, What function represents the cost of a pizza with at least one  topping?

b. What will be the function rule of the problem?

c. What will be the domain and range of the problem?

  • According to the question the cost for one topping keeps on changing and there will be a constant rate of change.
  • We have the slope intercept y = mx + b
  • Now when x = 0, y = b
  • But cost of pizza is $ 5, therefore we have
  •                              5 = m(0) + b
  •                            Or b = 5
  • Since m is the slope and each additional topping costs 75 cents we get m = 0.75 (since the unit is changed from dollar to cents)
  • Also we have the additional toppings will cost 75 cents and only the first topping is $5 price.
  • Now one less than the number of toppings will be x – 1
  • Now we can write the function as  
  •                              f(x) = 0.75 (x – 1) + 5

Reference link will be

https://brainly.in/question/1355135

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