After 8/15 of an hour, Jane has completed painting 3/5 of the wall. At this rate, how much of the wall will she finish painting
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Answer:
Step-by-step explanation:
If two values are inversely proportional, their product must be maintained. That way, if one value goes up, the other goes down by the same extent.
Therefore, if and
vary inversely, their product will be the same for all values of
and
.
Let and
as given in the problem. Substitute values:
Hence, the maintained product is .
Thus, we have the following equation:
Substitute to find the value of
when
:
For this case we have that by definition, the equation of a line in the slope-intercept form is given by:
Where:
m: Is the slope
b: Is the cut-off point with the y axis
We have the following equation:
We manipulate algebraically:
We subtract 10 from both sides of the equation:
We subtract 3x from both sides of the equation:
We multiply by -1 on both sides of the equation:
We divide between 5 on both sides of the equation:
Thus, the equation in the slope-intercept form is
Answer: