<em>Complete Question:</em>
<em>The function shown models the depth d (in inches) of snow on the ground during the first 9 hours of a snowstorm, where t is the time (in hours) after the snowstorm begins.
</em>
<em>
The -intercept means that there were[ ]inch(es) of snow on the ground at the start of the storm and the slope means that[ ]inch(es) of snow falls every hour during the storm.
</em>
<em>Function: d(t)= 1/2t+6</em>
Answer:
![b = 6](https://tex.z-dn.net/?f=b%20%3D%206)
![m = \frac{1}{2}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B1%7D%7B2%7D)
Step-by-step explanation:
Given
![d(t)= \frac{1}{2}t+6](https://tex.z-dn.net/?f=d%28t%29%3D%20%5Cfrac%7B1%7D%7B2%7Dt%2B6)
Required
Determine the y intercept and the slope
y-intercept:
![d(t)= \frac{1}{2}t+6](https://tex.z-dn.net/?f=d%28t%29%3D%20%5Cfrac%7B1%7D%7B2%7Dt%2B6)
A function has a format of:
![d(t) = mt + b](https://tex.z-dn.net/?f=d%28t%29%20%3D%20mt%20%2B%20b)
Where b represent the y intercept:
By comparison of
and ![d(t)= \frac{1}{2}t+6](https://tex.z-dn.net/?f=d%28t%29%3D%20%5Cfrac%7B1%7D%7B2%7Dt%2B6)
![b = 6](https://tex.z-dn.net/?f=b%20%3D%206)
Slope:
A function has a format of:
![d(t) = mt + b](https://tex.z-dn.net/?f=d%28t%29%20%3D%20mt%20%2B%20b)
Where m represent the slope
By comparison of
and ![d(t)= \frac{1}{2}t+6](https://tex.z-dn.net/?f=d%28t%29%3D%20%5Cfrac%7B1%7D%7B2%7Dt%2B6)
![m = \frac{1}{2}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B1%7D%7B2%7D)
Well, we do not see the lines clearly (if they are dotted (inequality) or solid (inequality or equal) ), but we'll come back to this.
y<x+1 can be simplified to be y<x if we ignore the constants, so the valid part is BELOW the line, since (y<)
x-4y <=4
again, ignore the constants and simplify to
x-y<0 or
y>x so the valid part is ABOVE the line (since y>)
There are two graphs that satisfy BOTH conditions, pink (slope=1) at the bottom, and blue (slope = 1/4) on top, i.e. first and third graph.
For the absolute inequality (y<x+1), the red line must be dotted.
For the <= condition, the blue line must be solid.
As we cannot see the lines clearly, you will make the choice between the first and third graphs according to the previous paragraph.
What changes may occur if the given dollar will be rounded off to its nearest value.
<span>There will only be 2 chances, the dollar will become smaller or bigger. Why? </span>
Because in mathematical rules of rounding off numbers:
number below 5 will be round down and 5 and up will be rounded up.
For example:
You have a bill of $6.79 since the number next to the decimal point in the right is 7, it will be rounded up to $7.
<span>But if your bill is $6.25, it will be rounded down to $6.00
</span>
I got this from a different brainy member
The answer is A.
We can first eliminate D since it uses these (<, >) signs and the lines are shaded, indicating the points on those lines are solutions.
We can also eliminate C because the y intercept in C’s lines is 2, while in the graph, they are both 3.
Finally, we can look at both inequalities on the graph and see that the shaded areas are both underneath the line. This means that y is less than the equation for the line, eliminating B
So, the answer is A
Hope this made sense!!
Answer: Bottom and top (or which ever one is the small box in the middle and the one that looks like the small box in the middle)
Step-by-step explanation: the middle rectangle is the bottom and the other one like it is the top. the length is 7 in. and the height is 4 in. and 4 in. times 7 in. is 28in^2