1st ... 5
2... it doesn't intersect the y axis
3.. 3
<span>3x - 7y = 9
7y = 3x - 9
y =3/7x - 9/7
slope = 3/7</span>
Answer:
y = 400x - 1200
Step-by-step explanation:
considering the linear equation y = mx + c
where y denotes number of items
x denotes item price
we have y = 2000 and x = $8 so we have now
2000 = m(8) + c ...... 1
now we have
y = 400 and x = $4
400 = m(4) + c .....2
from equation 1 and 2 we have
subtracting 2 from 1
1600 = 4m
m = 400
solving for c value
400 = 4m + c
400 = 4*400 + c
c = -1200
y = 400x - 1200
The difference between Tucker and Karly's take is that Tucker's solution is analytical while Karly's is graphical. But both are correct either way.
For Tucker's solution, let's say at x=-3 the value for y is 4, and at x=3, the value of y is still 4, then the average rate of change or slope is 0. Note that the slope of the curve is Δy/Δx. Since there is no change for Δy, the slope is zero.
For Karly's solution, even if the curve travels high or low but would have the same elevation of x=-3 and x=3, the average rate of change is still zero. It is actually just same with Tucker's but Karly just verbalizes her solution that was observed visually.
Answer:
B. 68 inches
Step-by-step explanation:
H-------J-------K
you know that HJ is 56, and JK is 2/9 × HJ.
2/9 × 56 = 12.4
you now know HJ and JK, so HK is the sum of those.
12.4 + 56 = 68.4
so HK ≅ 68 when you round the answer
