Answer:
Rate of change is 6/7 Initial value: 6
Step-by-step explanation:
To find the slope (which is the rate of change), use (y1 - y2)/(x1 - x2).
x1 and y1 will be (0, 6)
x2 and y2 will be (7, 0)
Note that x1 x2 y1 y2 can be any points on the line, I just chose these because they were x and y-intercepts.
(6 - 0)/(0 - 7) = 6/7
The initial value is simply the y-intercept, which is 6.
Answer:
117.5 or 235/2
Step-by-step explanation:
We can set up an equation for this problem:
Lets Joe's weight be x
then:
2x -5 = 230
therefore:
2x = 235
x = 117.5 or 235/2
A direct variation has a constant slope, i.e. (y/x)= constant.
Both of the given two points give a slope of (y/x)=14/2=28/4=7, so the equation of the function is
y/x=7, or simply
y=7x
Answer:
x = 1.9
Step-by-step explanation:
use SOH-CAH-TOA
Okay so there are 100 white balloons, 200 pink balloons, and we are specified that the ratio of pink to yellow is 10:1 soo we can plug 200:20 which can be simplified to 100:10 which can then be simplified to 10:1 there is our ratio. So there are 29 yellow balloons. Therefore there are only 80 balloons left which would mean there are 80 blue balloons!:)
