Answer:
The first equation, sorry can’t explain.
Answer:
4
Step-by-step explanation:




Answer:
- $52
- this estimate is a little low
Explanation:
a) I might choose 6 1/2 hours and $8 per hour, so the estimated earnings would be ...
6(8) +(1/2)(8) = 52 dollars . . . . estimated earnings
These values are purposely chosen so that one is a little high and the other is a little low, hopefully producing a closer estimate than if both numbers were high (as 7 hours, $8, for example).
__
b) Using 800 instead of 790 means the pay estimate is about 1/80 = 1.25% high.
Using 6 1/2 instead of 6 3/4 means the hours estimate is about 1/27 ≈ 3.7% low.
So, we expect the product of these values to be slightly low, perhaps by about 2.5%.
_____
<em>Comment on estimating</em>
If you can estimate the error in the estimate with some reasonable accuracy, you can use that to adjust the estimate to a pretty close value.
Two lines are perpendicular between each other if their slopes fulfills the following property

where m1 and m2 represents the slopes of line 1 an 2, respectively.
To find the slope of a line we can write it in the form slope-intercept form

Our original line is

Then its slope is

Now we have to find the slope of the second line. Using the first property,

Then the second line has to have a slope of 8.
The options given to us are:

Then we have to determine which of these options have a slope of 8. To do that we write them in the slope-intercept form:

Once we have the options in the right form, we note that the only one of them that has a slope of 8 is the last one.
Then the line perpendicular to the original one is