During the month of January, the depth, d, of snow in inches at the base of one ski resort could be approximated by d = -2t + 69, where t is the number of days since December 31st. Graph the equation and use the graph to estimate the depth of snow on January 24th
We aren't able to draw graphs on this site.
To graph the equation d = -2t + 69, we need to plot points on a coordinate plane and connect them to form a line.
First, let's list some values for t and calculate the corresponding values for d:
t = 0, d = -2(0) + 69 = 69
t = 1, d = -2(1) + 69 = 67
t = 2, d = -2(2) + 69 = 65
t = 3, d = -2(3) + 69 = 63
...
t = 24, d = -2(24) + 69 = 21
Now, let's plot these points on a coordinate plane:
t | d
-------
0 | 69
1 | 67
2 | 65
3 | 63
...
24 | 21
Next, connect the points with a straight line:
|
d |
90 +--------------------+
|
| /
| /
| /
20 | /
|________________
0 10 20 30
t
Using the graph, we can estimate the depth of snow on January 24th (t = 24) by looking at the point on the line corresponding to t = 24. From the graph, it appears that the depth of snow on January 24th is around 21 inches.
To graph the equation, we need to plot points on a coordinate plane. In this case, we will use the number of days since December 31st (t) as the x-coordinate and the depth of snow in inches (d) as the y-coordinate.
To estimate the depth of snow on January 24th, we need to determine the value of d when t = 24.
First, let's substitute t = 24 into the equation:
d = -2(24) + 69
d = -48 + 69
d = 21
Therefore, the estimated depth of snow on January 24th is 21 inches.
To graph the equation, we can plot a few points and then connect them to create a line.
Let's select some values for t and calculate the corresponding values of d:
For t = 0:
d = -2(0) + 69
d = 69
So, one point is (0, 69).
For t = 10:
d = -2(10) + 69
d = 49
So, another point is (10, 49).
For t = 20:
d = -2(20) + 69
d = 29
So, another point is (20, 29).
Now, we can plot these points and draw a line connecting them.
The graph should show a straight line with a negative slope, starting at (0, 69) and going down to (20, 29). The point where t = 24 (January 24th) would lie somewhere on this line.
By visually estimating the position of the point with t = 24, we can find its corresponding value of d, which in this case is approximately 21 inches.