The new function moved up by 8 units from the original.
The only difference in the functions is the y-intercept. The slope remained the same (
), but the y-intercept went up by 8, meaning the function moved up 8 units.
See the attached image for a graph of both functions. The new function is the solid blue line.
Let x be the number of rows and y be the number of trees per row.
x* y = 112
and y = 2x - 2
from first equation y = 112/x
so 112/x = 2x - 2
112 = 2x^2 - 2x
2x^2 - 2x - 112 = 0
x^2 - x - 56 = 0
(x - 8)(x + 7) = 0
x = 8 , - 7 (ignore the negative)
so the number of rows = 8
and number of trees per row = 112/8 = 14
Answer number of rows = 8 and number trees i each row = 14.
(total cost) = (cost to tend a boat) + (price per person)*(number of people)
(total cost) = C
(cost to tend a boat) = 10
(price per person) = 2
(number of people) = p
C = 10 + 2p
or
C = 2p + 10
