Answer:
6. 300/4 feet per hour or feet/hour
7. 90/10 feet per second or feet/sec
Try simplifying the fractions though.
Step-by-step explanation:
average rate of change just means the change in distance per the change in time (per meaning divided by). what is the change in distance? 700-400 = 300. change in time is 6-2 = 4 hours. so 300/4
Same thing, change in distance is 100 - 10 feet and change in time is 40-30 seconds so the average rate of change is 90/10 feet per second
Answer:
a^2+B^2=c^2
Step-by-step explanation:
Okay I think there has been a transcription issue here because it appears to me there are two answers. However I can spot where some brackets might be missing, bear with me on that.
A direct variation, a phrase I haven't heard before, sounds a lot like a direct proportion, something I am familiar with. A direct proportion satisfies two criteria:
The gradient of the function is constant s the independent variable (x) varies
The graph passes through the origin. That is to say when x = 0, y = 0.
Looking at these graphs, two can immediately be ruled out. Clearly A and D pass through the origin, and the gradient is constant because they are linear functions, so they are direct variations.
This leaves B and C. The graph of 1/x does not have a constant gradient, so any stretch of this graph (to y = k/x for some constant k) will similarly not be direct variation. Indeed there is a special name for this function, inverse proportion/variation. It appears both B and C are inverse proportion, however if I interpret B as y = (2/5)x instead, it is actually linear.
This leaves C as the odd one out.
I hope this helps you :)
