A couple wants to buy a $30,000 car and can borrow the money for the purchase at 5%, paying it off in 3, 4, or 5 years. The table to the right gives the monthly payment and total cost of the purchase(including the loan) for each of the payment plans. Suppose that when the payment is over t years, P(t) represents the monthly payment and C(t) represents the total cost for the car loan. Use this information to answer parts (a) through (d).t Monthly Total(years) Payment $ Cost $Cost $3 899.13 32368.684 690.88 33162.245 566.14 33968.40(a) Find (4) and write a sentence that explains its meaning. Select the correct choice below and fill in the answer box to complete your answer.(A) If the car is financed over 4 years, the payment is P(4) = $____(b) What is the total cost of the purchase if it is financed over 5 years? Write the answer using function notation. Select the correct choice below and fill in the answer box to complete your choice.(A) C(5) = $______(B) P(5) = $____(c) What is t if C(t) = $33,162.24?t = _____(d) How much will the couple save if they finance the car for 3 years rather than 5 years?$______