Part
A:
<span>In
the expression given, 65 + 15w + 25m: 65 =
constant; 15 and 25 = coefficients; w and m = variables.</span>
Thus,
to define:
Constant
is a number which the value is already fixed.
Variable
is the unknown value in the algebraic expression.
Coefficient
is a number which is placed before a variable that indicates how many times the
variable is to be multiplied.
65 + 15w + 25m
65 = 15 (1) + 25 (2)
Part
B:
Let
x be the savings account balance
W
= # of weeks
M
= frequency of mowing the lawn
First,
let’s use the expression given above: 15w + 25m.
Since we are solving for a
constant, only the variables and coefficient of the expression given are to be
used.
Then,
we substitute the variables’ corresponding values.
X
= 15 (20) + 25 (3)
Therefore,
the savings deposits will amount to:
X
= 300 + 75
X
= $375
Part
C:
$75
+ w + 3m
Constant
will be $75.
Variables:
w = no weekly deposit, m = 3
Coefficients:
w = 1, m = remains at 25
This is because we need to adjust the variables and coefficients to solve for the constant.
check the picture below.
so, y = -3 is simply a horizontal line, as you see there, and any perpendicular line to that will be a vertical one, whose slope is undefined.
we can check by simply picking two points off the red line hmmm say (-2,2) and (-2, -2)
Let's say x is the amount of money Kelly saves. We do not know how many weeks she is saving. If she was saving for 2, then the equation would be x=5(2). However, she is saving by w weeks, so the equation is x=5w.
Pooooooooooooooooooooooooooooooooooooooopy :p
First, add or subtract all variables
y2 + 4y - 16y + 3y = -7y
-7y + 2 is your answer
