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karlamiddleschool
23.06.2021 •
Mathematics
The equation C = 0.20x + 50 gives the cost C in dollars for renting a truck and
driving it x miles. This equation is in the form y = mx + b.
Identity the slope and write a sentence to describe the meaning of the slope.
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Ответ:
0.20 dollars/mile
Step-by-step explanation:
The slope actually has units. It has the meaning of 20 cents per mile. The units are cents per mile.
But it can also be 0.20 dollars/mile which is probably the way you should interpret it in a math class. That way it matches the units of the 50 which is for certain in dollars.
Ответ:
Estimating value of √37.
We know that
6 < √37 < 7
If we take the average of 6 and 7, we get
Since,![6.5^{2} = 42.25](/tpl/images/0078/0474/9e94e.png)
6 < √37 < 6.5
If we take the average of 6 and 6.5 , we get
Since,![6.25^{2} = 39.0625](/tpl/images/0078/0474/80f82.png)
6 < √37 < 6.25
If we take the average of 6 and 6.25 , we get
Since,![6.125^{2} = 37.515625](/tpl/images/0078/0474/01006.png)
6 < √37 < 6.125
If we take the average of 6 and 6.125 , we get
Since,![6.0625^{2} = 36.75390625](/tpl/images/0078/0474/0786b.png)
6.0625 < √37 < 6.125
If we take the average of 6.0625 and 6.125 , we get
Since,![6.09375^{2} = 37.1337890625](/tpl/images/0078/0474/2efee.png)
6.0625 < √37 < 6.09375
If we take the average of 6.0625 and 6.09375 , we get
Since,![6.078125^{2} = 36.943603515625](/tpl/images/0078/0474/985c4.png)
6.078125 < √37 < 6.09375
If we take the average of 6.078125 and 6.09375 , we get
Since,![6.0859375^{2} = 37.03863525390625](/tpl/images/0078/0474/250c7.png)
Therefore,
√37 ≈ 6.0859375.
And if we round it to the nearest tenth, we get
√37 ≈ 6.1
Locating √37 on number line.
In order to locate √37 on number line first draw a line 0 to 6 on number line.
Then draw a perpendicular line segment of 1 unit on number 6 on number line.
Join the number 0 on the number line by the top point of perpendicular line segment on number 6 we drew in above step.
Finally, draw a curve by taking radius as Hypotenuse of the right trinagle form in the diagram shown.
The curve would cut the number line exactly at √37 on number line.