drake wants to save $750 so that he can take a class on computer analysis for cars. the class is being held…

drake wants to save $750 so that he can take a class on computer analysis for cars. the class is being held on various dates over the next several months. drake is planning to take the class 6 weeks from now, so he plans to save $125 each week. unfortunately, drake had to take out a little money from his savings in the 3rd week. after 4 weeks, drake has $470. he knows that he must adjust his plan in order to meet his goal. drake came up with the following options: option a: stay with saving the original amount each week but take the class a week later than originally planned. option b: increase the amount of money he saves each week by $15 from his original plan. which of the following is a true statement? a. only option a will allow him to meet his goal. b. only option b will allow him to meet his goal. c. both options a and b will allow him to meet his goal. d. neither option a nor option b will allow him to meet his goal.

drake wants to save $750 so that he can take a class on computer analysis for cars. the class is being held on various dates over the next several months. drake is planning to take the class 6 weeks from now, so he plans to save $125 each week. unfortunately, drake had to take out a little money from his savings in the 3rd week. after 4 weeks, drake has $470. he knows that he must adjust his plan in order to meet his goal. drake came up with the following options: option a: stay with saving the original amount each week but take the class a week later than originally planned. option b: increase the amount of money he saves each week by $15 from his original plan. which of the following is a true statement? a. only option a will allow him to meet his goal. b. only option b will allow him to meet his goal. c. both options a and b will allow him to meet his goal. d. neither option a nor option b will allow him to meet his goal.

Answer

Explanation:

Step1: Calculate remaining weeks and money needed

Drake originally planned 6 - week savings. After 4 weeks, he has 2 weeks left originally. With Option A, he has 3 weeks left. He needs $750 - 470=280$ more dollars.

Step2: Analyze Option A

He saves $125$ per week. In 3 weeks, he will save $125\times3 = 375$ dollars. Since $375>280$, he can meet the goal with Option A.

Step3: Analyze Option B

He increases his weekly - savings by $15$, so he saves $125 + 15=140$ per week. In 2 weeks, he will save $140\times2=280$ dollars. Since $280 = 280$, he can meet the goal with Option B.

Answer:

c. Both options A and B will allow him to meet his goal.