Question:
The quantities x and y are proportional.
x y
5.8 7.5
11.2
Find the constant of proportionality (r) in the equation y=rx
Answer:
The constant of proportionality is 75/58 or 1.29
Step-by-step explanation:
Given
The table above
Required
Find the constant of proportionality
The question has an incomplete table but it can still be solved because x and y are proportional.
Given that
y = rx
Make r the subject of formula
Divide through by x
y/x = rx
y/x = r
r = y/x
When y = 7.5, x = 5.8
Substitute these values
r = y/x becomes
r = 7.5/5.8
Multiply denominator and numerator by 10
r = (7.5 * 10)/(5.8 * 10)
r = 75/58
In this case, it's best to leave the answer in fraction.
However, it can be solved further.
r = 75/58
r = 1.29 (Approximated)
Hence, the constant of proportionality is 75/58 or 1.29
Hello!
Slope intercept form is y = mx + b
m is the slope
b is the y-intercept
To turn the equation into the base form we have to get y by itself
-6y = -2x + 24
Divide both sides by -6
Simplify
To get the y-intercept we put 0 in for the x point and b for the y point
The y-intercept is (0, -4)
The slope is 1/3 which means every time x goes up by 3 the y goes up by 1
Other points are (3, -3) (6, -2) and (9, -1)
With 3 or more points we can plot a graph
Hope this Helps!
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