Question

1. (a.3d) you are going to prom. everything is paid for except the limo and dinner. you have a $120 budget for the limo and dinner. you and your friends are splitting the limo so it will only cost you $10 per hour. for dinner you are going to a tapas restaurant. items are $8 each at this restaurant and of course you want a variety! which answer choice could not be a possible solution? a. 2 hours in the limo and 10 tapas items b. 8 hours in the limo and 5 tapas items c. 6 hours in the limo and 8 tapas items d. 3 hours in the limo and 11 tapas items topic 3 - correlation and line of best fit - questions 11, 12, 13, 14, & 15 - teks a.4a. a.4b. a.4c 11. (a.4a) which graph below has a correlation close to 1? 12. (a.4a) the table below shows the number of snow cones sold at a snow cone stand on different days and the temperature on that day. what is a reasonable correlation coefficient for the data? a. 0.37 b. -0.90 c. -0.40 d. 0.93 13. (a.4b) in which situation is a causation the least likely? a. the amount of time a person exercised and the number of calories they burn. b. the number of cats in a house and the amount of kitty litter needed. c. the outside temperature and the number of hours the air conditioner is on. d. the height of a student and their grade in algebra class.

Explanation:

Step1: Calculate total cost for each option

Let \(x\) be the number of limo hours and \(y\) be the number of tapas items. The cost function is \(C = 10x+8y\).

• For option a: \(x = 2,y = 10\). Then \(C=10\times2 + 8\times10=20 + 80=100\).
• For option b: \(x = 8,y = 5\). Then \(C=10\times8+8\times5=80 + 40=120\).
• For option c: \(x = 6,y = 8\). Then \(C=10\times6+8\times8=60+64 = 124\).
• For option d: \(x = 3,y = 11\). Then \(C=10\times3+8\times11=30+88 = 118\).

Answer:

C. 6 hours in the limo and 8 tapas items