Noah’s remote control car moved 12 feet in 6 seconds. Which graph has a slope that best represents Noah’s car’s average rate of
1 answer:
We want to find a graph that represents Noah's average speed.
We define the average speed as the quotient between the distance moved and the time it takes to move that distance, then in this case we will have:
s = 12ft/6s = 2ft/s
Then we can define a linear equation:
y = (2ft/s)*x
As the distance that Noah travels in x seconds.
The graph of the given linear function can be seen below, and that is the graph with the slope that best represents Noah's average speed.
If you want to learn more, you can read:
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Answer:
$80
Step-by-step explanation:
Let the number of hours required to make a mailbox = x
Let the number of hours required to make a toy = y
Each mailbox requires 1 hour of work from Carlo and 4 hours from Anita.
Each toy requires 1 hour of work from Carlo and 1 hour from Anita.
The table below summarizes the information for ease of understanding.
We have the constraints:
Each mailbox sells for $10 and each toy sells for $5.
Therefore, Revenue, R(x,y)=10x+5y
The given problem is to:
Maximize, R(x,y)=10x+5y
Subject to the constraints
The graph is plotted and attached below.
From the graph, the feasible region are:
(0,0), (6,0), (4,8) and (0,12)
At (6,0), 10x+5y=10(6)+5(0)=60
At (4,8), 10(4)+5(8)=80
At (0,12), 10(0)+5(12)=60
The maximum revenue occurs when they use 4 hours on mailboxes and 8 hours on toys.
The maximum possible revenue is $80.
