Given:
y is proportional to x.
y=10 and x=8.
To find:
The constant of proportionality and the equation for the proportional relationship.
Solution:
y is proportional to x.
...(i)
Where, k is the constant of proportionality.
Putting y=10 and x=8, we get
Putting 
in (i), we get
Therefore, the contestant of proportionality is and the equation for the proportional relationship is .
Answer: (c)
Step-by-step explanation:
Given
Here, 
To get 
, replace 
in 
by 
Using 
and 
it can be concluded that the domain of is all real numbers except 0.
Therefore, its domain is given by
Option (c) is correct.
Answer:
She can walk 2.46 repeating miles in 1 hour
Step-by-step explanation:
We can write a proportion to solve this problem. Write the number of miles on top and the time in minutes on the bottom. We know 1 hour is 60 minutes.
1.85 miles x miles
------------------- = ----------------------
45 miles 60 minutes
Using cross products
1.85 * 60 = 45x
Divide each side by 45
1.85*60/45 = 45x/45
2.466666666 =x
She can walk 2.46 repeating miles in 1 hour
Answer:
x=-1/2
Step-by-step explanation:
add 2 to both sides
3x=x-1
subtract x from both sides
2x=-1
divide by 2
x=-1/2
