Answer 12 questions in 35 minutes:^ means raised

Answer 12 questions in 35 minutes:
^ means raised to the power of.
Question 1 (1 point)
Translate the sentence into a mathematical equation. Identify the
meaning of all symbols.
The volume of a right prism is the area of the base times the
height of the prism.
a. If V represents the volume, B the area of the base, and h the
height, then v=1/2Bh
b. If V represents the volume, B the area of the base, and h the
height, then v=b/h
c. If V represents the volume, B the area of the base, and h the
height, then v=b+h
d. If V represents the volume, B the area of the base, and h the
height, then v=bh
The volume is the base times the height.
-------------------------------------------------------------------------------Question 2 (1 point)
Solve the problem.
A rectangular carpet has a perimeter of 214 inches. The length of
the carpet is 69 inches more than the width. What are the
dimensions of the carpet?
a. 88 by 107 inches
b. 97.5 by 107 inches
c. 63 by 82 inches
d. 88 by 19 inches
D is the only possible answer ... it is the only one that has
dimensions 69 apart. The perimeter checks as well.
-------------------------------------------------------------------------------Question 3 (1 point)
Solve the problem.
Judy has a rectangular garden 8 by 13 feet. She wants to put a
grass border around the garden with a uniform width on all sides.
If she has enough grass seed to cover 162 sq ft how wide can the
grass border be?
a. 3 feet
b. 6 feet
c. 1.5 feet
d. 5 feet
if the walk is 3 feet wide, the whole area is 14 by 19; that's 266 sq
feet. if you subtract the garden (8 by 13 or 104), you get 162,
which is desired.
-------------------------------------------------------------------------------Question 4 (1 point)
Solve the problem.
Don James wants to invest $65,000 to earn $5320 per year. He
can invest in bonds paying 12% per year or in a Certificate of
Deposit (CD) paying 4% per year. How much money should be
invested in each to realize exactly $5320 in interest per year?
a. $35,000 in B-rated bonds and $30,000 in a CD
b. $30,000 in B-rated bonds and $35,000 in a CD
c. $31,000 in B-rated bonds and $34,000 in a CD
d. $34,000 in B-rated bonds and $31,000 in a CD
34000 (0.12) + 31000(0.04) gives exactly 5320.
-------------------------------------------------------------------------------Question 5 (1 point)
Solve the problem.
The manager of a candy shop sells chocolate covered peanuts for
$6 per pound and chocolate covered cashews for $12 per pound.
The manager wishes to mix 50 pounds of the cashews to get a
mixture that will sell for $11 per pound. How many pounds of
peanuts should be used?
a. 5 pounds
b. 60 pounds
c. 10 pounds
d. 30 pounds
The actual correct mixture should be 1/6 peanuts and 5/6
cashews. That would be about 50/6 or 8.33 pounds of peanuts.
The closest answer is C.
-------------------------------------------------------------------------------Question 6 (1 point)
Solve the problem.
How many gallons of a 30% alcohol solution must be mixed with
60 gallons of a 14% solution to obtain a solution that is 20%
20 is 6 away from 14%;
20 is 10 away from 30%
So, they should be mixed in a ratio of 10 to 6, or 5 to 3. Since
there are 60 gallons of 14%, there should be 3/5 as much 30%.
That's 3/5 * 60 = 36.
-------------------------------------------------------------------------------Question 7 (1 point)
Solve the problem.
Train A leaves a station traveling at 32 km/h. Two hours later,
train B leaves the same station traveling in the same direction at
52 km/h. How long does it takes train B to catch up to train A?
a. 4.2 hours
b. 3.2 hours
c. 2.2 hours
d. 5.2 hours
Train B catch up at a rate of 52-32 = 20 km/hr. Train A has a(
32km/h)*(2 hours) = 64 km head start.
So, 64/20 = 3.2
Question 8 (1 point)
Solve the problem.
BJ can overhaul a boat's diesel inboard engine in 20 hours. His
apprentice takes 60 hours to do the same job. How long would it
take them working together assuming no gain or loss in
a. 12 hours
b. 80 hours
c. 15 hours
d. 6 hours
BJ does 1/20 per hour
apprentice does 1/60 per hour
together, they do 1/20 + 1/60 = 4/60 = 1/15 per hour.
So, they would do a whole job in 15 hours.
-------------------------------------------------------------------------------Question 9 (1 point)
Solve the problem.
The monthly payment p on a mortgage varies directly with the
amount borrowed B. If the monthly payment on a 30-year
mortgage is $7.30 for every $1000 borrowed, find a linear
function that relates the monthly payment p to the amount
borrowed B for a mortgage with the same terms. Then find the
monthly payment p when the amount borrowed is
a. p =b/1000 ; $0.02
b. p =b/30 ; $7066.67
c. p = 0.0073B; $1547.60
d. p =b/219 ; $968.04
if you borrow 1000, you pay 7.30. So, check the point (1000, 7.3).
The only equation it fits is C.
-------------------------------------------------------------------------------Question 10 (1 point)
Plot and interpret the appropriate scatter diagram.
The table gives the times spent watching TV and the grades of
several students.
see attached for graphs
Which scatter diagram describes the data and the relationship, if
a. see attached
More hours spent watching TV may increase grades.
More hours spent watching TV may reduce grades.
More hours spent watching TV may reduce grades.
d. none of these
Graphs A and C look right, however only C has the correct
analysis of reduced grades.
-------------------------------------------------------------------------------Question 11 (1 point)
Solve the problem.
Identify the scatter diagram of the relation that appears linear.
a. see attached
B looks as though the points are modeling a line. C and D look
-------------------------------------------------------------------------------Question 12 (1 point)
Use a graphing utility to find the equation of the line of best fit.
see attached
a. y = 0.85x - 2.79
b. y = 0.95x - 2.79
c. y = 0.90x - 3.79
d. y = 0.80x - 3.79
according to the graphing utility, the best choice is A.
More about the problem.