Problem Solving for Teachers

yara0575

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May 1, 2010
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3
Write an expression in terms of the given variable that represents the indicated quantity.

a. The cost of having a plumber spend h hr at your
house if the plumber charges $20 for coming to the
house and $25 per hour for labor
b. The amount of money in cents in a jar containing
d dimes and some nickels and quarters if there are
3 times as many nickels as dimes and twice as many
quarters as nickels
c. The sum of three consecutive integers if the least
integer is x
d. The amount of bacteria after n min if the initial
amount of bacteria is q and the amount of bacteria
doubles every minute. (Hint: The answer should contain
q as well as n.)
e. The temperature after t hr if the initial temperature
is and 40 degrees F each hour it drops by 3 degrees F.
f. Pawel’s total earning after 3 yr if the first year his
salary was s dollars, the second year it was $5000
higher, and the third year it was twice as much as the second year.
 
Show your work; homework not done here. And read "Read before Posting".
 
Ill do a for you to get you started, besides it is the easiest.\displaystyle I'll \ do \ a \ for \ you \ to \ get \ you \ started, \ besides \ it \ is \ the \ easiest.

C(h) = $20.00+$25.00(h).\displaystyle C(h) \ = \ \$20.00+\$25.00(h).
 
All right yara0575, since I have a good heart, Ill do b for you.\displaystyle All \ right \ yara0575, \ since \ I \ have \ a \ good \ heart, \ I'll \ do \ b \ for \ you.

n+d+q= number of coins\displaystyle n+d+q = \ number \ of \ coins

.05n+.10d+.25q = value of coins\displaystyle .05n+.10d+.25q \ = \ value \ of \ coins

Now, n = 3d and q = 2n\displaystyle Now, \ n \ = \ 3d \ and \ q \ = \ 2n

Hence V(d) = .10d+.05(3d)+.25(2n) = .10d+.15d+.5n = .25d+.5(3d) = .25d+1.5d = $1.75(d)\displaystyle Hence \ V(d) \ = \ .10d+.05(3d)+.25(2n) \ = \ .10d+.15d+.5n \ = \ .25d+.5(3d) \ = \ .25d+1.5d \ = \ \$1.75(d)

Note: V stands for total value of coins, in regards to how many dimes there are.\displaystyle Note: \ V \ stands \ for \ total \ value \ of \ coins, \ in \ regards \ to \ how \ many \ dimes \ there \ are.

V(d) = $1.75(d)\displaystyle V(d) \ = \ \$1.75(d)
 
a. C(h) = $20.00+$25.00(h), C = cost\displaystyle a. \ C(h) \ = \ \$20.00+\$25.00(h), \ C \ = \ cost

b. V(d) = $1.75(d), d = dime, V = total value\displaystyle b. \ V(d) \ = \ \$1.75(d), \ d \ = \ dime, \ V \ = \ total \ value

c. S(x) = 3x+3, S = sum\displaystyle c. \ S(x) \ = \ 3x+3, \ S \ = \ sum

d. B(t) = q(2t), B = number of bacteria\displaystyle d. \ B(t) \ = \ q(2^t), \ B \ = \ number \ of \ bacteria

e. T(t) = 403t, T = temperature\displaystyle e. \ T(t) \ = \ 40-3t, \ T \ = \ temperature

f. ?????????, Anyone get f?\displaystyle f. \ ?????????, \ Anyone \ get \ f?
 
Bless you guys, you guys are awesome!! This was my first time using this site!! Thank you!!
 
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