hello could you show me the steps to solve these questions about modeling with kinear equations. Thank you.

1. Shawn plans to rent a car for his one week trip to the beach, 525 miles away. He calls two car rental companies to get prices. Company A rents a car for $99 for one week plus $0.11 per mile. Company B has the same rental for $60 per week and $0.20 per mile. a) Make a table for each company to show the cost for each one hundred miles traveled during a week. COMPANY A COMPANY B # of Miles Cost # of Miles Cost 100 100 200 200 300 300 100 100 b) Construct a graph of each company on the same coordinate plane. Label each line and the axes appropriately. c) Which company should Shawn choose for his 525 mile trip? Explain your choice. d) Define the variable and write an equation for each company that could be used to determine the cost for any distance traveled during the weeklong rental period. Company A Company B2. Big Fun Amusement Park is offering three different park pass options this year. The Bronze Pass costs $55 for the pass, and then you pay a discounted daily rate of $10 each time you visit. The Silver Pass The Gold Pass 500 # of cost visits -450 O 125 -400 4 145 -350 8 165 -300 12 185 250 200 150 100 -50 50 O 50 100 150 200 a) Define the variable and write an equation for each type of pass. Bronze Pass Silver Pass Gold Pass b) Which pass should you purchase if you plan to go to the park every Saturday of the year (52 weeks)? Explain.c] thich pass would be most expensive? Compare the cost of the pass you chose with the pass that would be most expensive for this situation. How much money would you save? d) If you live 2.5 hours away and can only Visit the park 12 times during the year, which pass would be the best value? Explain. 3. Consider this scenario: A town has an initial population of 55,000. It grows at a constant rate of 1,550 per year for 5 years. a] Find the linear function that models the town's population, P, as a function of the year, t, where t is the number of years since the model began. b) Find and interpret the y-intercept. c] Find and interpret the slope of the function. d) 'Nhen will the population reach 100,000? e) What will the population be 12 years after the onset of the model