Discuss the below:
Q1. Suppose I had a lemonade stand. When I charge $1, I sold 50 cups, when I raised the price to $2, I only sold 25 cups. Write an equation for the number of cups I sold as a function of the price i charged. Denote C for number of cups and P for price. Assume the function is linear.
Q2. Write an equation for f(x) based on x -2, -1,, 0, 1, 2 and -5, -2, 1, 4, 7
Q3. Which one of the following are functions? Please explain your reasoning for a,b,c. Is the relationship between f(x) and x consistent with f(x) being a function? Please explain.
a. f(x)=2 if x>1
b. f(x)=5 if x>0 , f(x)= -5 if x<0 , f(x)=5 or -5 if x=0
c. f(x)=10/x
Q4. For each example below please explain wether it is best described by a linear function or non-linear function. Please explain.
a. the time it takes you to get to work as a function the speed at wich you drive
b. the probability of getting into a car accident as a function of the speed which you drive
c. a person's height as a function of the persons age ( from 0-100)