Respuesta :
The equation represent a linear relation with the y-intercept
representing the amount of initial fee.
Correct response:
1. 28 volleyball uniforms
2. Price per uniform
3. Initial flat order fee
4. 10 fewer volleyball uniform
Methods used for finding the above values
The given equation that represents the relationship between the cost of school volleyball uniform is; C = 20·n + 35
Where;
C = The uniform costs
n = The number of volleyball uniform ordered
The maximum amount the school has to spend = $600
1. The number of uniforms the school can buy is given by setting C = 600 as follows;
- C = 20·n + 35
Therefore;
600 = 20·n + 35
20·n = 600 - 35 = 565
[tex]n = \dfrac{565}{20} = \mathbf{28.25}[/tex]
Rounding down to the nearest whole number, we have;
- The number of uniforms the school can buy, n = 28 volleyball uniforms.
2. The number 20 represent the additional cost for each extra uniform, which is the unit cost therefore;
- 20 represents a $20 price per uniform.
3. The 35 in the equation represents an initial flat fee, such as an
ordering or initial fee, which is fixed.
Therefore;
- The number 35 represent the fixed cost for producing the uniforms
4. The price per uniform of $30 changes the coefficient of n from 20 to 30 as follows;
C = 30·n + 35
The number of uniforms the school can by with $600 is therefore;
[tex]n = \dfrac{600 - 35}{30} = \mathbf{18.8 \overline 3}[/tex]
Which gives;
The number of uniforms the school can purchase at $30 per uniform is n = 18 volleyball uniforms
The difference in the number of uniforms purchased = 28 - 18 = 10
Therefore;
- The school can purchase 10 fewer uniforms at $30 per uniform
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