MA153
JIN
NOTE for HW 21
Graphs for problem 1,2 and 3
intercepts: ,
intercept:
intercept:
intercept:
intercepts: ,
intercept:
4. Simplify the difference quotient
if
(Solution)
5. If a linear function
satisfies the conditions:
and , find .
(Solution) slope =
Hence applying pointslope form, we get
6. From a rectangular piece of cardboard having dimensions , where , an open box is to be made by cutting
out an identical square of area from each corner and turning up the sides. Express the volume
V
of the box as
a function of
x
.
(Solution) Notice that the width of the box is
and the length of the box is . Thus,
(Volume of the box) =
7. A small office unit is to contain
of floor space.
(a) Express the length
of the building as a function of the width .
(Solution) Since ,
(b) If the walls cost $90 per running foot, express the cost
of the walls as a function of the width. (Disregard
the wall space above the doors and the thickness of the walls.)
(Solution) Total length of the wall is .
Since
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 Fall '08
 Slope

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