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 y = mx + b form, the slope can be found in the m position and the y intercept can be found in the b position.
y = mx + b
y = 2x + 15
slope(m) = 2 and y int (b) = 15
The initial amount is the y intercept, which is 15. The rate of change (the slope) is 2
example :
baskets picked in 1 hr :
y = 2(1) + 15
y = 2 + 15
y = 17
baskets picked in 2 hrs :
y = 2(2) + 15
y = 4 + 15
y = 19
so the slope ( rate of change) is basically saying for every hr of picking, you pick 2 baskets...so your picking 2 baskets per hr.
The y intercept (15) is telling us that they already had 15 baskets to start with.
11/15=.7333333 so the one with the line above the 3 only
Answer:
6-5 = 7-6
Step-by-step explanation:
Line segment of length k is divided into 3 equal parts.
so first segment is 0-k/3 and third segment is 2/3k-k
so mid-pt of 1st = k/6 and 3rd = 5/6k
so the distance in between = 5/6k-k/6 = 4/6k = 2/3k