Posted by **mary** on Saturday, August 18, 2012 at 12:59am.

In the following, write an expression in terms of the

given variables that represents the indicated quantity:

a. The cost of having a plumber spend h hr at your

house if the plumber charges $30 for coming to the

house and $x per hour for labor

b. The amount of money in cents in a jar containing

some nickels and d dimes and some quarters if there

are 4 times as many nickels as dimes and twice as many

quarters as nickels

c. The sum of three consecutive integers if the greatest

integer is x

- math -
**Steve**, Saturday, August 18, 2012 at 4:44am
cost: 30 + x*h

money: 10d + 5*4d + 25(2*4d)) = 230d

sum: x-2 + x-1 + x = 3x-3

- math -
**Jerry**, Saturday, August 18, 2012 at 4:54am
a. Cost = $30.00 + h x $x

$30 initial fee plus number of hours times the cost per hour.

b. The value of the dimes can be written as $0.10 x d (the number of dimes). The number of nickels can be written as 4 times the number of dimes (4d) but the value is written as $0.05 x 4d. The number of quarters is twice the number of nickels which is four times the number of dimes. So, the number of quarters is (8d). The value of the quarters is $0.25 x 8d.

The equation would be: ($0.10 x d) + ($0.05 x 4d) + ($0.25 x 8d)=$_____. You could, then factor out the d (number of dimes), multiply the values($0.10, $0.05 and $0.25) times their respective quantity multiplier (1, 2, 4). This gives you the amount = $2.30 x d (for every one dime, you have enough dimes, nickels, and quarters to equal $2.30, so count the dimes and multiply by $2.30.

c. Sum = x + (x-1) + (x-2)= 3x-3

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