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The value of c, if a line with a slope of 3/4 that passes through the points (1,8) and (5,c), is 11.
<h3>What is the equation of a line?</h3>A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,
y =mx + c
where,
x is the coordinate of the x-axis,
y is the coordinate of the y-axis,
m is the slope of the line, and
c is the y-intercept.
Given that the line has a slope of 3/4 and passes through the point (1,8). Therefore, we need to substitute the slope and the coordinates in the equation of the line, to get the value of the y-intercept.
y = mx + c
8 = (3/4)(1) + c
8 = (3/4) + c
c = 8 - (3/4)
c = 29/4
Now, the line also passes through (5,c), therefore, if we substitute the value of slope and y-intercept in the equation,
y = mx + c
c = (3/4)(5) + (29/4)
c = (15/4) + (29/4)
c = 44/4
c = 11
Hence, the value of c, if a line with a slope of 3/4 that passes through the points (1,8) and (5,c), is 11.
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Answer:<u> -0.9 ; inelastic</u>
Explanation:
Given:
The average price of wheat per metric ton in 2012 = $305.75
Demand (in millions of metric tons) in 2012 = 672
The average price of wheat per metric ton in 2013 = $291.56
Demand (in millions of metric tons) in 2013 = 700
We will compute the elasticity using the following formula:
ε =
ε =
Now , we'll first compute
i.e. =
= 0.04081
Similarly for
i.e. =
= -0.0475
ε =
ε = -0.859 -0.9
we know that ;
If, ε > 1 ⇒ Elastic
ε < 1 ⇒ Inelastic
ε = 1 ⇒ unit elastic
<u><em> Here , ε = -0.859
-0.9 </em></u>
<u><em>Therefore ε is inelastic.</em></u>