Answer:
The rate of change is 0.75 gallons per minute
Step-by-step explanation:
The rate of change of the linear relation is represented by the slope of the line which represents this relation
The rule of the slope of a line is
m = Δy/Δx, where
- Δy is the vertical change
- Δx is the horizontal change
From the given graph
∵ The line passes through points (0, 0) and (4, 3)
∴ Δx = 4 - 0 = 4
∴ Δy = 3 - 0 = 3
→ Use the rule of the slope above to find the slope of the line
∴ m =
= 0.75
∵ The x-axis represents the time in minutes
∵ The y-axis represents the amount in gallons
∵ m represents the rate of change
∴ The rate of change = 0.75 gallons per minute
Answer:
y = -x + 9
Step-by-step explanation:
✔️Find the slope using (9, 0) and (7, 2):

Slope (m) = -1
✔️Find the y-intercept (b):
The line intercepts the y-axis when y = 9. Therefore, y-intercept (b) = 9
✔️Substitute m = -1 and b = 9 into y = mx + b
Thus,
y = -1(x) + 9
y = -x + 9
So the expression is:

You can combine like terms, which are terms that contain the same variables raised to the same power. That means you can combine the two

.

The other terms can't be combined.
Your final answer should be

.
Answer:
1/4 hopefully this helps you with work