Need help please with Algebra 1 (rate of change)!!! Find the rate of change for each table, equation, or graph. How did you find the rate of change?
If there is any way you can help me? I will become a fan :)
\[\frac{ y2 - y1 }{ x2 - x1 } = rate of change\]
for a?
yes
Oh okay got it. What about option b?
for A is \[\frac{ 20-10 }{ 4-2 } = \frac{10}{2} = 5, \frac{30-20}{6-4} = \frac{10}{2} = 5\] so rate of change is 5.
Oh ok I understand. but how did you find it?
the formula i posted first y2 - y1/ x2- x1
Oh.. Oh ok got it. Thank you so much!
what about b?
change to linear form y = mx + b,\[5x+3y=-2 \to 3y = -5x-2\] then divide by 3 to get Y alone.\[y = \frac{-5x}{3}-\frac{2}{3}\] the slope is m which in this case is -5/3
so the rate of change is -5/3
Thanks. now one I totally don't get is c :/
well assuming the top point in the graph is 50, just use the same steps as in A, pick two ordered pairs on the graph such as (3,25) and (6, 50) then use the same formula i posted first and that's your rate of change between those two ordered pairs.
is (3,25) and (6,50) from the equation?
no they are ordered pairs you pick from the graph in C. I just picked two.
Oh ok
in task 2 for a, m = y2-y1 / x2 - x1 and use the point slope form of y - y1 = m(x - x1)
think u can do the rest...
Join our real-time social learning platform and learn together with your friends!