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lidiya [134]
3 years ago
11

Explain why it makes sense for this situation to have a linear equation

Mathematics
1 answer:
IgorC [24]3 years ago
3 0

Answer:

The line of best fit for your specific question is a linear equation.

Step-by-step explanation:

A linear equation has a constant rate of growth/decline and the growth/decline rate will never change in an linear equation.

If you draw a line that approximately splits between all the data plots, you will notice the line you drew is very close to the data points.

If the data plots was a quadratic, it would be very hard to draw a line of best fit.

Linear equations can easily be identified in a graph because it is a straight line.

Perhaps insert this equation into your graphing calculator or other graphing software online (like Desmos): y = 3x+2

A quadratic equation can also easily be identified in a graph because, in most cases, it looks like a U.

Take these examples: y = 3x^2+5x+2 or y=-2x^2+10x+30

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3 years ago
For a certain model of car the distance d required to stop the vehicle if it is traveling at v mi/h is given by the formula d =
enyata [817]
Given that <span>For a certain model of car the distance d required to stop the vehicle if it is traveling at v mi/h is given by the formula d=v+\frac{v^2}{20}, where [tex]d is measured in feet.

If Kerry wants her stopping distance not to exceed 75 ft, then the range of speeds (in mi/h) can she travel is obtained as follows:

v+ \frac{v^2}{20} \leq75 \\  \\ 20v+v^2\leq1,500 \\  \\ v^2+20v+100\leq1,500+100 \\  \\ (v+10)^2\leq1,600 \\  \\ |v+10|\leq\sqrt{1,600} \\  \\ -40\leq v+10\leq40 \\  \\ -40-10\leqv\leq v\leq40-10 \\  \\ -50\leq v\leq30

Therefore, the range of speed she can travel is v\leq30\ mi/hr
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3 years ago
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