Graph the function y= -1.5x to the second power
2 answers:
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Answer:
2) 3
Step-by-step explanation:
Graphing the best-fit quadratic curve for the data-set can be done using Ms. Excel Application.
The first basic step is to enter the data into any two adjacent columns of the excel workbook. Highlight the two columns where the values have been entered, click on the insert tab and then select the x,y scatter-plot feature. This will create an x,y scatter-plot for the data.
Next, click on the Add Chart Element feature and add a polynomial trend-line of order 2 which is basically a quadratic curve. Finally, check the display equation on chart box. This step will plot the quadratic curve as well as give the equation of the best-fit quadratic curve.
The attachment below shows the best-fit quadratic curve to the data-set and its corresponding equation.
A good approximation for the value of c from the equation is thus 3. This is simply the y-intercept of the curve. 3.21 is closer to 3.
The table is attached.
A) The gasoline consume grows as the distance traveled increases. This means that the two quantities are directly proportional.
Therefore, the proportionality constant is given by:
k = gasoline / distance
= 2 / 40
= 0.05
We could have used also:
k = 3 / 60
= 0.05
In order to find the gasoline consumed, you need to multiply the distance by the proportionality constant:
30 × 0.05 = 1.5
55 × 0.05 = 2.75
In order to find the distance traveled, you need to divide the gasoline consumed by the proportionality constant:
3.5 ÷ 0.05 = 70
B) The function of the proportionality found is:
y = 0.05·x
where:
x = distance
y = gasoline
Therefore:
y = 0.05·110 = 5.5
Femi for a trip of 110 miles expects to use 5.5 gallons of gasoline.
A) The gasoline consume grows as the distance traveled increases. This means that the two quantities are directly proportional.
Therefore, the proportionality constant is given by:
k = gasoline / distance
= 2 / 40
= 0.05
We could have used also:
k = 3 / 60
= 0.05
In order to find the gasoline consumed, you need to multiply the distance by the proportionality constant:
30 × 0.05 = 1.5
55 × 0.05 = 2.75
In order to find the distance traveled, you need to divide the gasoline consumed by the proportionality constant:
3.5 ÷ 0.05 = 70
B) The function of the proportionality found is:
y = 0.05·x
where:
x = distance
y = gasoline
Therefore:
y = 0.05·110 = 5.5
Femi for a trip of 110 miles expects to use 5.5 gallons of gasoline.