Sarah plans to sell homemade birdhouses at the local craft fair. She spent $90 on new tools and estimates that she spends $6 in
2 answers:
Answer:
Step-by-step explanation:
Let x represents the number of birdhouses and y be the average cost per birdhouse (in dollars).
Since she spends $6 in materials for each birdhouse.
Therefore, the total material cost for x birdhouses (in dollars)=
Also, She spent $90 on new tools.
Therefore, the total cost for building x bird house(in dollars) =
Now, The average cost per birdhouse =
Hence, the rational function models the average cost per birdhouse:
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Answer:
Answer is in the attachment.
Step-by-step explanation:
To graph x>2 consider first x=2. x=2 is a vertical line and if you want to graph x>2 you need to shade to the right of the vertical line.
To graph x+y<2, I will solve for y first.
x+y<2
Subtract x on both sides:
y<-x+2
Consider the equation y=-x+2. This is an equation with y-intercept 2 and slope -1 or -1/1. So the line you have in that picture looks good for y=-x+2. Now going back to consider y<-x+2 means we want to shade below the line because we had y<.
Now where you see both shadings will be intersection of the shadings and will actually by your answer to system of inequalities you have. In my picture it is where you have both blue and pink.
I have a graph in the picture that shows the solution.
Also both of your lines will be solid because your question in the picture shows they both have equal signs along with those inequality signs.
Just in case my one graph was confusing, I put a second attachment with just the solution to the system.
Okay so first we need to find the height ofn one hay barrel. To do this we must use the equations v= h×w×l
We already know 3 out of the 4 variables in the equations, in this case we are given the volume so we must work backwards.
The equation will look like this:
First we must mulitpy 4 and 1 1/3 to get 16/3. The equation will now look like:
Next divide 16/3 from h then from 10 2/3 to get :
The height is 2ft. Finally multiply 2 by the number of hay barrels (8) placed upon each other becuase we're finding the height and you will get your answer of 16 ft in height.
We already know 3 out of the 4 variables in the equations, in this case we are given the volume so we must work backwards.
The equation will look like this:
First we must mulitpy 4 and 1 1/3 to get 16/3. The equation will now look like:
Next divide 16/3 from h then from 10 2/3 to get :
The height is 2ft. Finally multiply 2 by the number of hay barrels (8) placed upon each other becuase we're finding the height and you will get your answer of 16 ft in height.