The graph shows the quadratic parent function. Which statement best describes the function?
1 answer:
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The number of notepads sold will be 17 and the price of each notepad is $2.15
Let's assume, the price of each notepad is X and the number of notepads sold is Y
As the price of each notepad is below $3.00 and over $2.00 , that means
X < 3.00 and X > 2.00
As the number of notepads sold is Y, so the total price of all X number of notepads will be : XY
Here it is given that, the total amount of money from the sale of the pads was $36.55
So, XY = 36.55
⇒ Y =
For X < 3.00 ,
Y > (when X is max, then Y will be min)
⇒ Y > 12.183
and for X > 2.00,
Y < (when X is min, then Y will be max)
⇒ Y < 18.275
As here Y is the number of notepads sold, so the value of Y must be a whole number. The minimum value of Y will be 13 and maximum value will be 18.
Now we will use hit and trial method
If Y= 13 , then X =
If Y= 14 , then X =
If Y= 15 , then X =
If Y= 16 , then X =
If Y= 17 , then X =
and if Y = 18 , then X =
So, for getting XY= 36.55 exactly, the value of X= 2.15 and the value of Y=17.
So, the number of notepads sold will be 17 and the price of each notepad is $2.15