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
Answer:
See below
Step-by-step explanation:
1. The rule defining the function on the graph:
- y = x -1, if x = (-3,-1)
- y = -3x + 9, if x = [2, 4)
2. f(x) = |4x + 36|
- y = 4x + 36, if x ≥ - 9
- y = -4x - 36, if x < - 9
3. See attachment for the graph
4. Item 4 is not included in the question
3 1/5 - 1 4/5 = 1 2/5
you could also convert to a decimal so
3.2-1.8=1.4
and 1.4 in fraction form is 1 2/5
Answer:
168 students pack their lunch.
Step-by-step explanation:
28% / 100 = 0.28
600 * 0.28 = 168.