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.
0.20(150) = 30 basketballs were in the shipment. Since the shipment presumably comprised only footballs and basketballs, the remainder of the shipment must consist of footballs.
150 - 30 = 120 footballs were in the shipment.
13.21 gallons are in 50 liters
Answer:
45 mins
Step-by-step explanation:
Estimated time it would take to visit with each client = fraction of time required for one client x 60 minutes
3/4 x 60 = 45 minutes
time it would take to visit with 7 clients = 7 x 45 minutes = 5hours 25 mins
Answer:
g(x) has a greater average rate of change
Step-by-step explanation:
From the given information, the table is:
<u>x | g(x)</u>
-1 7
0 5
1 7
2 13
From this table, we have g(0)=5 and g(2)=13
The average rate of change over [a,b] of g(x) is given by: 
This implies that on the [0,2]. the average rate of change is:
Also, we have that: f(0)=-4 and f(2)=-1.
This means that the average rate of change of f(x) on [0,2] is
Hence g(x) has a greater average rate of change on [0,2]
