Answer:
Step-by-step explanation:
Equation of a line:
The equation of a line, in point-slope form, has the following format:
In which the point is and the slope is m.
(3, 20)
This means that . So
Slope:
The slope is the derivative of the function at the point:
The function is:
The derivative is:
At the point, we have that . So
So the equation to the tangent line to the curve a the point is:
Total amount of trail mix which is poured into the bags = pounds
= pounds
Total amount of trail mix in each bag = pound
Number of bags with pound, which can be poured from
pounds of trail mix
= Total amount of trail mix Amount of trail mix in each bag
=
=
= 6 bags
Number of bags taken on a hiking trip = of bags
=
= 4 bags
Now, number of bags of trail mix which are left = 6-4 = 2 bags.
Therefore, 2 bags are left.