Nred help with this high school algebra assignment. Please show equations.

BATI'ERS CAN'T HANDLE THE HEAT (Before you submit this assignment, make sure it is complete and it looks goodJ Carlos has been playing baseball since he was 7 years old. His favorite position is being a pitcher and has kept data on how fast his fastball is from ages 10 15. The data are shown in the table below. ofPltd-rer Speed of Fastball Age(years) (miles per hour) ll 550 662 772 1. What is the rate of change for the fastball data? What does the rate of change mean for Carlos? 2. Carlos decides that the speed of his fastball is a function of his age. 1. Write a function, 5(a), that models the relationship between Carlos's age, a, and the speed, 5, of his fastball. b. Describe what each part of your function means in relation to Carlos's age and fastball speed. c. Do the features of the slope and y-intercept make sense for this situation? Explain why or why not. 3. Find each value and explain what the input and output values mean for Carlos. a. Remember that the domain of a function represents the input values that work for the function. 5. What do you think is a reasonable domain for your function that models the relationship between Carlos's age (a) and the speed (5) of his fastball. Explain how you make your choice for a reasonable domain. 6. How does your domain choice change your graph from question 1? ldk what a domain is sorry