Which expression can be used to determine the slope of the linear function represented in the table? x 0 4 y 5 9
2 answers:
Answer:
a) 9-5 over 4-0 is the CORRECT OPTION.
Step-by-step explanation:
Here, according to the given information:
x 0 4
y 5 9
⇒ when x = 0, y = 5 or (0,5) is a given point on function.
and when x = 4, y = 9 or (4,9) is a given point on function.
Now, if two such points (a,b) and (c,d) are given, then the slope S is given as:
So, here taking (a,b) and (c,d) as (0,5) and (4,9):
Hence, 9-5 over 4-0 is the CORRECT OPTION.
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Answer:
You can see the graph below.
To answer the question, you need to draw a vertical line from x = 12h up, until the line meets with the line.
Once the line meets with the line, draw a horizontal line from that point, and the value where this line intersects with the y-axis will be the distance from home after 12 hours.
The graph is kinda hard to read because the line is really steep, the green line is the equation y = 40*x
the red line is a line at x = 12
The black dashed line is the horizontal line that intersects with the y-axis.
In the graph, you can see that the dashed line intersects the y-axis at around y = 475.
Then a good estimate is that the distance after 12 hours is 475 (miles).
Now, we can compare this with the direct calculation, just replace x by 12 in the given line:
y = 40*12 = 480.
So our estimation is really accurate.
