F(x)=5x-2
y=5x-2
y=5(3)-2
y=15-2
y=13
so the answer is B. 13
Since the ratio of of second variable to the ratio of first variable remains constant i.e y/x =8 so, the linear relationship is direct variation.
Step-by-step explanation:
A relationship is said to have direct variation if ratio of second variable to the ratio of first variable remains constant.
A relationship is direct variation if
where k is the constant.
Now checking if the given data is having direct variation or not.
x y
3 24
4 32
5 40
6 48
Now finding y/x
if y=24 and x = 3 then y/x = 24/3 = 8
if y=32 and x = 4 then y/x =32/4=8
if y=40 and x = 5 then y/x =40/5 =8
if y=48 and x = 6 then y/x =48/6= 8
Since the ratio of of second variable to the ratio of first variable remains constant i.e y/x =8 so, the linear relationship is direct variation.
Keywords: Direct Variation
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Answer: 5h represents the number of hours Rob actually spent on the project.
Step-by-step explanation:
Let Rob planned that he will spend x hours in his project.
According to the question,
He spent 25% more time on his project than he planned.
That is, his actual time = x + 25% of x = 125% of x
Again according to the question,
He spent an extra h hours on his project.
That is, 25% of x = h


x = 4h
Thus, his actual time = 125% of x = 125% of 4h =
= 5h
Which is the required expression.
Three of given <u>lines</u> form a <u>triangle</u> with <u>measures</u> of two <u>interior angles</u>
and 
The angle with measure
is exterior angle of considered triangle.
The measure of exterior angle of triangle is equal to the sum of the measures of two not adjacent interior angles:

Answer: correct choice is D
$5 for reg
$10 for mid
$15-$20 for loud