1. A table can be a helpful thing to model the rate of change. It can be used by making an x and y column and listing each number underneath it like so:
x y
1 2
2 4
And so on. The rate of change for that table would be every time the x axis goes up 1, the y axis goes up 2.
2. To find the rate of change using a graph, look at the line on the graph. You can make a small triangle that starts on the line and then comes out and re-connects into the line. Like so - (look at attached picture). And as you go, you count how many you go down or up and how many you go left or right.
*Hopefully this was helpful, sorry if t wasn't!
xx, Avery
Answer:
y=69
Step-by-step explanation:
first step:when y=26 and x=21
c=y-x
c=26-21
c=5
second step: when y is unknown and x=64
To find y we simply add the value of c to x
y=x+c
y=64+5
y=69
Let
Y=the food is yummy
O=overeat
E=exercise
Note:
∪ = or
-> if ... then
(Y∪O)->E
You have two unknown rates, so we need to develop two equations to solve for these unknowns (based on the information given on the problem statement):
5x + 10y = 725
x + y = 100
By substitution, we get:
5x + 10(100 - x) = 725
5x + 1000 - 10x = 725
-5x = 725 - 1000
-5x = -275
x = -275/-5 = 55
100 - 55 = 45
Thus:
The mechanic who worked for 5 hours charged his time at $55/hr, and the mechanic who worked for 10 hours charged his time at $45/hr.
To verify, plug and chug the results back into the original equations:
5(55) + 10(45) = 725
275 + 450 = 725
725 = 725 [OK]
55 + 45 = 100 [OK]