Answer:
Rate of change: 25
Initial value: 25
Equation: y = 25x + 25
Step-by-step explanation:
✔️hours = x
Fee = y
Rate of change (m) = ∆y/∆x
Rate of change (m) = 25/1 = 25
Rate of change (m) = 25
✔️Initial value = y-intercept (b).
To find the initial value, simply substitute (x, y) = (1, 50) and m = 25 into y = mx + b.
Thus:
50 = (25)(1) + b
50 = 25 + b
Subtract 25 from each side
50 - 25 = b
25 = b
b = 25
✔️To write an equation, substitute m = 25 and b = 25 into y = mx + b.
Thus:
y = 25x + 25
Answer:
40%
Step-by-step explanation:
The first step is to add 18 girls + 12 boys, which gives you the total number of people on the swim team, 30.
Next, you divide the 12 boys by the total swim team members, so:
= 0.4
Then, you multiply 0.4 by 100 to get the percentage:
0.4 × 100 = 40
Therefore, the swim team is made up of 40% boys, and 60% girls.
Hello!
This is a problem about the general solution of a differential equation.
What we can first do here is separate the variables so that we have the same variable for each side (ex.
with the
term and
with the
term).


Then, we can integrate using the power rule to get rid of the differentiating terms, remember to add the constant of integration, C, to at least one side of the resulting equation.

Then here, we just solve for
and we have our general solution.
![y=\sqrt[3]{\frac{1}{2}x^2-x+C}](https://tex.z-dn.net/?f=y%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B1%7D%7B2%7Dx%5E2-x%2BC%7D)
We can see that answer choice D has an equivalent equation, so answer choice D is the correct answer.
Hope this helps!
The fraction 8/21 cannot be simplified because the numerator and denominator don't have a common factor except 1.