Answer:
Part A: Kimberly
Part B:
Becca = 22.5 miles, Kimberly = 25 miles
Step-by-step explanation:
Part A:
Given that Becca runs at a constant speed of 4.5 miles per hour, use the table to find the constant speed that Kimberly runs, and compare who runs faster.
Let x = time
y = distance
k = speed = y/x
Equation for each person can be written as: y = kx
Therefore:
✔️Equation for Becca if k = 4.5
y = 4.5x
✔️Find k (speed) of Kimberly using (2, 10):
Speed (k) = y/x
k = 10/2
k = 5 miles per hour
Equation for Kimberly would be:
y = 5x
Comparing their speed, Kimberly runs faster because she covers more miles per hour than Becca does.
Part B:
For Becca, substitute x = 5 into Becca's equation, y = 4.5x
Thus:
y = 4.5*5 = 22.5 miles
For Kimberly, substitute x = 5 into Kimberly's equation, y = 5x
Thus:
y = 5*5 = 25 miles
X/750=4
multiply both sides by 750
x=3000
the number is 3000
Let's call the first unknown integer x and the second one y.
"Four times an unknown integer"
"Multiplied by three times the unknown integer plus a different unknown integer"
- 4x is multiplied by 3x+y, so 4x(3x+y)=12x²+4xy
"Equals 100."
And so the answer is C: 12x²+4xy-100=0
Answer: The population will be 536,250 people
Step-by-step explanation:
