chuy wants to buy a new television. the telev...
chuy wants to buy a new television. the television costs $1,350. chuy decides to save the same amount of money each week, for 27 weeks. after 8 weeks chuy saved $440. which of the following conclusions can you make about chuys plan? a. chuy has a good plan and will have exactly $1,350 saved at the end of 27 weeks. b. chuy must increase the amount he saves each week in order to meet his goal at the end of 27 weeks. c. chuy will save more than he needs and will meet his goal in less than 27 weeks. d. there is not enough information given to make a conclusion about chuys plan. please select the best answer from the choices provided
Answer
# Explanation:
## Step1: Calculate weekly - savings amount
First, find out how much Chuy saves per week. He saved $440 in 8 weeks. So the weekly - savings amount $s$ is calculated by $s=\frac{440}{8}=55$.
## Step2: Calculate total savings in 27 weeks
Then, find the total amount he will save in 27 weeks. Using the formula $T = s\times n$, where $n = 27$ and $s = 55$. So $T=55\times27 = 1485$.
## Step3: Compare with the goal amount
The cost of the television is $1350$. Since $1485>1350$, Chuy will save more than he needs and will meet his goal in less than 27 weeks.
# Answer:
C. Chuy will save more than he needs and will meet his goal in less than 27 weeks.