5/3 is the simplified slope.
Answer:
3 pounds for 90 cents.
Step-by-step explanation:
The 5 pound bag costs 32 cents a pound
The 3 pound bag is 30 cents a pound
I SAY IT THE SECOND OPTION
Answer:
6 years
Step-by-step explanation:
So each person's age can be represented as a linear equation, since each year our age increases by 1. It can be represented in the slope-intercept form: y=mx+b. The slope in this case is going to be 1, since the time is going to be years, and each year everyone's age goes up by 1 (of course if you're still alive...) and y-intercept in this case represents their current age.
So the father can be represented as: y=x+38
The sons can be represented as: y = x+13 and y=x+5
The daughter can be represented as: y=x+8
So adding up all his children you get:
(x+13)+(x+5)+(x+8)
This gives you the equation:
3x+26
Now set this equal to the father's age to solve for x (in this context it's years)
3x+26=x+38
Subtract from both sides
2x+26=38
Subtract 26 from both sides
2x=12
Divide both sides by 2
x=6
So in 6 years the father will be the same age as his children put together
Answer:
y = 6
Step-by-step explanation:
We need to interpret the question
y varies directly as x
y varies x
To equate it, we need to add a constant K
y = K/x
Using the information we are provided with
y = 9
x = 3/2
insert into
y = Kx
9 = K * 3/2
9 = 3K/ 2
3K = 9 *2
3k = 18
To get K, divide through by 3
3K/3 = 18/3
K = 6
Since we've gotten our K = 6
y = Kx
Using the new information
y = ?
x = 1
K = 6
y = 6* 1
y = 6
The new y = 6 , x =1
