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
4.265 rounded to the nearest hundredth is 4.27
Answer:
B. f(x)
D. h(x)
Step-by-step explanation:
An exponential function will have a common ratio.
We check and see if the consecutive terms has a common ratio.
For f(x),
This is not an exponential sequence.
For g(x), we have:
For h(x),
This is not an exponential sequence
For k(x),
Answer:
$76.5
Step-by-step explanation:
93.5÷5.5=17
17×4.50=76.5
Therefore the answer is 76.5.
