Answer:
Step-by-step explanation:
Use the slope-intercept formula: 
where m is slope and b the y-intercept.
Use the slope formula for when you have two points:
Rise over run is the change in the y-axis over the change in the x-axis. Insert values:
Simplify parentheses (negative+negative=positive)
Simplify
2 is the slope:
Now use one of the points to find the y-intercept by substituting the x and y values into the equation. Solve for b:
(4,7)
The y-intercept is -1. Insert into the equation. Change the + symbol to -:
Done.
Answer:
According to the sample data, we can claim that the current satisfaction rate is different from last year's.
Step-by-step explanation:
The explanation is in the picture.
<span>Found a similar problem with the given table.
Elapsed time
(Minutes) 0 10 20 30 40 50 60 70 80 90
Rate
(gallons / minute) 42 40 38 35 35 32 28 20 19 10
Because the interval is every 10 minutes, we will use 10 and multiply it to each rate and get the sum total.
42*10 + 40*10 + 38*10 + 35*10 + 35*10 + 32*10 + 28*10 + 20*10 + 19*10 + 10*10
420 + 400 + 380 + 350 + 350 + 320 + 280 + 200 + 190 + 100
2,990
There will be a total of 2,990 gallons in the tank after 90 minutes. </span>
Answer:
y = 42
Step-by-step explanation:
Given that y varies directly as x then the equation relating them is
y = kx ← k is the constant of variation
To find k use an ordered pair from the table.
Using x = 2 when y = 12, then
12 = 2k ( divide both sides by 2 )
6 = k
y = 6x ← equation of variation
When x = 7, then
y = 6 × 7 = 42
Answer:
y= -2x+4
Step-by-step explanation:
To find the slope find 2 points and use "rise/run", that will get -2
To find the y-intercept look at where the line crosses the y-axis. that will be 4
so -2x+4
