Answer:
k = 18
Step-by-step explanation:
Given that y varies inversely as x then the equation relating them is
y = 
← k is the constant of variation
To find k use the condition y = 3 when x = 6, that is
3 = 
( multiply both sides by 6 )
18 = k
The constant of variation is k = 18
First we rewrite the table:
20 30
50 75
80 120
150 ?
We observe that for each 30 number of hops, the distance increases by 45 feet.
We must find the slope of the line:
m = (y2-y1) / (x2-x1)
m = (75-30) / (50-20)
m = 1.5
Then, the line is:
y = 1.5x
We substitute x = 150
y = 1.5 * (150)
y = 225
Answer:
Find the ratio of hops to distance traveled (1: 1.5), then multiply 150 by 1.5.
Answer:
x = 12
Step-by-step explanation:
IMPORTANT: Both answers should add up to 180 if they dont you did it wrong!
(10x - 20) + (6x + 8 ) = 180 plug in 12 for both of them
(10 * 12 - 20) + 6 * 12 + 8) = 120
(120 - 20) + (72+ 8 ) = 180
(100) + (80) = 180
so x = 12
hope this helps please make brainliest
Answer:
y = 3/5 x+3
Step-by-step explanation:
two points on the graph
(-5,0) (0,3)
the y intercept is 3 (this is where it crosses the y axis)
the slope is
change in y 0 to 3 up 3
------------------ = -------------- = ------- = 3/5
change in x -5 to 0 right 5
we can tell the slope is positive because it goes from bottom left to top right
a negative slope goes from top left to bottom right
slope intercept form is
y=mx+b
y = 3/5 x+3
