You are given
a commission of $10 for $100 in sales. You are to find the commission for $150
in sales. It is stated in the problem that the salesman’s commission varies
directly as his sales. Directly means proportional, and so this relationship has
a constant. Let us say the salesman commission is c and his sales is s. Let us
also denote k as our constant.
C = ks
$10 = k($100)
k = 0.1
We need to find
the salesman commission in $150 sales.
C = ks
C = (0.1)($150)
<u>C = $15</u>
The side lengths could be 10, 24 and 26 units.
We must first find the side lengths. We use the distance formula to do this.
For RT:

For ST:

For TR:

Our side lengths, from least to greatest, are 5, 12 and 13.
To be similar but not congruent, the side lengths must have the same ratio between corresponding sides but not be the same length. 10, 24 and 26 are all 2x the original side lengths, so this works.
Answer:
$3.75
Step-by-step explanation:
$1500 / 400 = $3.75
Answer:
f(2) = 9(2) and f(0) = g(0)
Step-by-step explanation:
As in the expression f(x) = g(x), the values in parentheses need to be the same for both f( ) and g( ). That is only the case for the first answer choice.