Answer:
The slope is -4 and the y-intercept is (0,10)
Step-by-step explanation:
Answer: $25 spent
Step-by-step explanation: the boy spent $15/total.
15/total=3/8
Divide by common factor: $15/3=$5 (1/8 total money
$5x8=$40
$40-$15=$25 spent
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
M = 1.5 = 3/2
y = mx + b
b = y - mx = 4 - (3/2)6 = 4 - 9 = -5
So equation of the line is:
y = 3x/2 - 5
Answer:
To find the x-intercept of any equation, set the y-value to 0.
Step-by-step explanation:
Example:
y=1x+4
To find x-intercept:
0=1x+4
1. Subtract 4 from both sides
2. Divide both sides by 1
The x-intercept is -4