Answer:
B. 4.61 miles
Step-by-step explanation:
midpoint is (-3+4)/2, (2+8)/2 = (1/2, 5)
distance = √(-3-1/2)² + (2 - 5)² = 4.609772299
B. Yes it's an exponential function because the y is increasing rapidly without a constant rate of change
Answer:
y=5/41x
Step-by-step explanation:
Alright, so we can get imagine two points. Imagine that the y axis is miles and the x axis is minutes. When bianca runs 0 miles, she would have run for 0 minutes, and we know that when Bianca runs 5 miles, she would have run for 41 minutes.
We can use slope formula using the change in y over change in x
So substituting values, we would get (5-0)/(41-0) or 5/41
slope is the letter m in the formula y=mx+b
so our equation would be , b being the y intercept, which would be 0 as you cant run anything when no time has passed
Knowing all of this. the final equation is
y = 8 -2x
x + 2 (8 - 2x) = 1
x + 16 - 4x = 1
x - 4x = -15
-3x = -15
x = 5
If x = 5, then we can substitute in...
5 + 2y = 1
2y = -4
y = -2
Now let us check that by substituting those values in to the equation
2x + y = 8
2 (5) + (-2) = 8
That is correct so we have the right values for x and y/