Question

1. jason made 9 two - point baskets and 3 three - point baskets in fridays basketball game. he did not score any other points. how many points did he score?

a. 21
b. 12
c. 24
d. 27

1. jeff left hartford at 2:15 p.m. and arrived in boston at 4:45 p.m. how long did the drive take him?

a. 2.5 hours
b. 2.3 hours
c. 3.25 hours
d. 2.75 hours

1. shane rolls a die with faces numbered 1 through 6. what is the probability that shane rolls a 3?

a. $\frac{3}{6}$
b. $\frac{1}{6}$
c. $\frac{1}{3}$
d. $\frac{1}{2}$

1. susan traveled 114 miles in 2 hours. if she keeps going at the same rate, how long will it take her to complete the remaining 285 miles of her trip?

a. 5 hours
b. 3 hours
c. 7 hours
d. 4 hours

1. a flight from baltimore to san jose took 5 hours and covered 3,010 miles. what was the planes average speed?

a. 545 mph
b. 612 mph
c. 515 mph
d. 602 mph

Explanation:

Step1: Calculate Jason's points

Multiply number of two - point baskets by 2 and three - point baskets by 3 and sum.
$9\times2 + 3\times3=18 + 9 = 27$

Step2: Calculate Jeff's driving time

Subtract departure time from arrival time.
4:45 - 2:15 = 2 hours 30 minutes = 2.5 hours

Step3: Calculate probability of rolling a 3 on a die

There is 1 favorable outcome (rolling a 3) out of 6 possible outcomes.
Probability = $\frac{1}{6}$

Step4: Calculate Susan's travel time

First find her speed: $v=\frac{114}{2}=57$ mph. Then find time for remaining distance: $t=\frac{285}{57}=5$ hours

Step5: Calculate plane's average speed

Use formula $v=\frac{d}{t}$, where $d = 3010$ miles and $t = 5$ hours.
$v=\frac{3010}{5}=602$ mph

Answer:

1. d. 27
2. a. 2.5 hours
3. b. $\frac{1}{6}$
4. a. 5 hours
5. d. 602 mph