Answer:
Week 4
Step-by-step explanation:
Ben has $250 in the beginning. He saves $150 per week.
y = 150x + 250
Tim has $1,650 in the beginning. He spends $200 per week.
y = 1650 - 200x
We are trying to find which x-value produces the same y-value for both equations. You can do this by setting both equations equal to each other.
150x + 250 = 1650 - 200x
(150x + 250) + 200x = (1650 - 200x) + 200x
350x + 250 = 1650
(350x + 250) - 250 = (1650) - 250
350x = 1400
(350x)/350 = (1400)/350
x = 4
By week 4, they will have the same amount of money.
In piecewise linear functions, the endpoint of one segment and the initial point of the next segment can have the same x-coordinate but a different value of f(x).
Such difference in values is called a step or discontinuity and such a function is called a discontinuous function.
Here in this case, there are 3 discontinuities: x=-3, x=3 and x = 5.
x = -3 because x is smaller than or greater than -3 but not equal.
x = 3 since greater than 3 in one of the inequalities.
x = 5 since x is smaller than 5 in one of the limits.
Plug into y-y1=m(x-x1)
y+4=4(x-4)
Answer:
12.571 length
x= 1.8571 or 13/7
Step-by-step explanation:
2 Answers:
Choice B and Choice C
====================================================
Reasoning:
c = cost of one crate (some unknown amount in dollars)
c+20 = cost of a crate and a leash
5(c+20) = cost of five sets of items mentioned
5(c+20) = 475 is one equation we can form
5c+100 = 475 is another equation we can form
I used the distributive rule to go from 5(c+20) to 5c+100.
The 100 indicates that the five leashes combine to $100, since 5*20 = 100.
The 5c represents the cost of all five crates combined.
So 5c+100 is another way to express the total cost of all five crates and all five leashes.
---------------
Side note: Solving either equation leads to c = 75, meaning that each crate costs $75.
