Marian is making accessories for the soccer team. She uses 888.44 inches of fabric on headbands for 36 players and 2 coaches. Sh
1 answer:
Answer:
23.38 inches of fabric was used for headband for each player.
9.43 inches of fabric was used for wristband for each player.
Step-by-step explanation:
Given that:
Total fabric used on headbands = 888.44 inches
Total number of players = 36
Total number of coaches = 2
Total number of people for whom headbands were made = Number of players + Number of coaches = 36 + 2 = 38
Amount of fabric used for each one = Total fabric used for headbands divided by Total number of people
Amount of fabric used for each one =
Similarly,
Total fabric used on wristbands = 339.48 inches
Total number of players = 36
Amount of fabric used for each one = Total fabric used for headbands divided by Total number of players
Amount of fabric used for each one =
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Whenever you face the problem that deals with maxima or minima you should keep in mind that minima/maxima of a function is always a point where it's derivative is equal to zero.
To solve your problem we first need to find an equation of net benefits. Net benefits are expressed as a difference between total benefits and total cost. We can denote this function with B(y).
B(y)=b-c
B(y)=100y-18y²
Now that we have a net benefits function we need find it's derivate with respect to y.
Now we must find at which point this function is equal to zero.
0=100-36y
36y=100
y=2.8
Now that we know at which point our function reaches maxima we just plug that number back into our equation for net benefits and we get our answer.
B(2.8)=100(2.8)-18(2.8)²=138.88≈139.
One thing that always helps is to have your function graphed. It will give you a good insight into how your function behaves and allow you to identify minima/maxima points.
To solve your problem we first need to find an equation of net benefits. Net benefits are expressed as a difference between total benefits and total cost. We can denote this function with B(y).
B(y)=b-c
B(y)=100y-18y²
Now that we have a net benefits function we need find it's derivate with respect to y.
Now we must find at which point this function is equal to zero.
0=100-36y
36y=100
y=2.8
Now that we know at which point our function reaches maxima we just plug that number back into our equation for net benefits and we get our answer.
B(2.8)=100(2.8)-18(2.8)²=138.88≈139.
One thing that always helps is to have your function graphed. It will give you a good insight into how your function behaves and allow you to identify minima/maxima points.
Answer:
See the attachment for the appropriate choice.
Step-by-step explanation:
Both equations are in slope-intercept form. Both have a y-intercept of -2, so only a graph where the lines cross at (x, y) = (0, -2) is a viable choice.
In both cases, the inequality requires that values of y be "less than (or equal to)" those described by the line. Hence, the shading will be below both lines.
