The line rising to the right has equation y = x + 2
and the other one has equation y = -x + 4
the lines are solid so the inequalities will be <= or >=
in both case the shading is below so the sign is <=
also x and Y values are both positive
so the answer is choice C
Answer:
a. Since 10 out of 70 had a tag we can write the ratio 10:70. We need to solve for x in 90:x. x = 630 so the answer is 630.
b. An assumption he could have made is that the number of deer that had a tag and the total amount of deer were directly proportional.
Answer:
Lavania observed 39 fruit flies after 6 days of observation
Step-by-step explanation:
Let x be the number of fruit flies on the first day of Lavania's study.
After 6 days she had nine more than five times as many fruit flies as when she began the study.
Five times as many fruit flies as when she began the study = 5x
Nine more than five times as many fruit flies as when she began the study=5x+9
The expression to find the population of fruit flies Lavania observed after 6 days is 5x+9
If she observes 20 fruit flies on the first day of the study, then x=6, then

Answer: The value of y is
.
Explanation:
It is given that the graph of a proportional relationship passes through (12, 16)
and (1, y).
The graph of a proportional relationship means the x and y coordinates are in a proportion k. The equation of the graph is in the form of y=kx. Where k is the proportion factor.
It is given that the graph passing through (12,16).




So the equation of the line is,

put x=1.


Therefore, the value of y is
.
For this case we can make the following rule of three:
2/9 ------> 3/5
x ---------> 1
Clearing x we have:
x = (1 / (3/5)) * (2/9)
Rewriting we have:
x = (5/3) * (2/9)
x = 10/27
Answer:
he irons 10/27 of his shirt every minute