Answer:
m=3/4
Step-by-step explanation:
use y=mx+b formula
300,000+40,000+5,000+ and three hundred forty five thousand zero
Answer: 567
Step-by-step explanation: each value is going up the hundreds place you add 100 each time the 10s place you add 10 each time and the ones place you add one each time
Question:
The quantities x and y are proportional.
x 15 25
y 5 8⅓
Find the constant of proportionality.
Answer:
r = ⅓
Step-by-step explanation:
To find the constant of proportionality, we make use of the following formula
y = rx
Where y is the given data in the y row
r is the constant of proportionality
x is the given data in the x row.
Using the first values of x and y.
When x = 15, y = 5.
So,
y = rx becomes
5 = r * 15
5 = 15r
Divide through by 15
5/15 = 15r/15
⅓ = r
r = ⅓
Taking the second values of x and y
when x = 25, y = 8⅓
So,
y = rx becomes
8⅓ = r * 25
8⅓ = 25r
Convert mixed fraction to improper fraction
25/3 = 25r
Divide through by 25
25/3 ÷ 25 = 25r/25
25/3 * 1/25 = r
25/75 = r
⅓ = r
r = ⅓
Notice that r = ⅓ is the same for both values of x and y.
Hence, the constant of proportionality is ⅓
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