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A table can be represented with a linear function equation as y = mx + b, where m is the slope and b is the y-intercept.
<h3>How to Represent a Table with Linear Function?</h3>Assuming we have a table of values as shown in the image attached below, to write an equation of linear function for the table, do the following:
Pick two pairs of values, say, (1, 5) and (2, 25) and find the slope (m):
Slope (m) = change in y / change in x = (25 - 5)/(2 - 1)
Slope (m) = 20
Find the y-intercept (b) by substituting (x, y) = (1, 5) and m = 20 into y = mx + b:
5 = 20(1) + b
5 = 20 + b
5 - 20 = b
-15 = b
b = -15
Write the equation of the linear function by substituting m = 20 and b = -15 into y = mx + b:
y = 20x - 15
Learn more about the linear function on:
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To solve this problem you must apply the proccedure shown below:
1. You have that Darren can get to work in
and <span>with the traffic and lights, he can average </span>
<span>.Therefore, you must apply the formula for calculate the distance, which is:
</span>
<span>
Where </span>
<span> is the speed and </span>
<span> is the time.
2. The time in hours is:
</span>
<span>
3. Substituying values, you have:
</span>
<span> The answer is:</span>
1. You have that Darren can get to work in
</span>
Where </span>
2. The time in hours is:
</span>
3. Substituying values, you have:
</span>
<span> The answer is:</span>