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:
Step-by-step explanation:
So we have the expression:
To multiply, distribute the left to the terms on the right:
Distribute:
Combine like terms:
Simplify:
Therefore:
Answer:
where 
is the number of laptops, and 
is the year.
in 2017: 
Step-by-step explanation:
I will define the variable 
as the number of years that passed since 2007.
Since the school buys 20 lapts each year, after a number of years, the school will have
more laptops.
and thus, since the school starts with 31 laptops, the equation to model this situation is
where is the number of laptops.
since x is the number of years that have passed since 2007, it can be represented like this:
where can be any year, so the equation to model the situation using the year:
and this way we can find the number of laptos at the end of 2017:
and
Answer will be -35
Since in an absolute equation, the inside will all be positive. So get rid of the negatives. 5x7. Then, outside of the absolute sign, there is a negative sign. Since that is outside, you cannot turn it into positive. Now, the answer is -35.
