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:
Yes, they are equivalent.
Step-by-step explanation:
9 / 3 = 3
24 / 3 = 8
3:8 is just the simplified version of 9:24. This is due to 9:24 being divided by three, becoming 3:8.
Answer:
What was the regular price of the T-shirt?
What question is being asked in this word problem?
- what is the regular cost of the t-shirt purchased by Jill.
What is the regular price of the skirt?
How much money does Jill have left?
- without considering sales tax, Jill has $90 - $31 = $59 left.
- If I use the sales tax from where I live, the sales tax = $1.86, so the money that Jill will have left = $59 - $1.86 = $57.14
How much does the T-shirt normally cost?
What is the amount Jill pays in sales tax?
- since you do not include the sales tax % in the question, I will simply use the sales tax from where I live = $31 x 6% = $1.86
Step-by-step explanation:
skirt $21
t-shirt = p - $8
before sales tax, total cost was $31
$21 + p - $8 = $31
p = $18
6x-12y=24
x=-6y-4
6(-6y-4)-12y=24
-36y-24-12y=24
-48y=48
y=-1
6x-12(-1)=24
6x+12=24
6x=12
x=2
6(2)-12(-1)=24
12+12=24
24=24 true
and
-(2)-6(-1)=4
-2+ 6=4
4=4 true
