13.\15.Amount of Juice (oz), j- 40
o30
3 20
100 1 2 3 4 5 6
Number of Pizzas, p- \ y
\/
\ /
X
0
After you drink 20 oz of
juice, the height is 0, so the
interval 0 <_/' < 20 makes
sense. The height goes from
0 < h < 6; continuous,
because you can have juice
in any amount.The number of pizzas can be
any whole number, except
zero, so 0 < p. 1 pizza costs
$14, so 14 <C.- y
/
/(^0) / X
- /
/
)
- No; the graph is still continuous over the appropriate
values of d and f.
dOJ
<Continuous; lengths and areas
can be any number.Lengt h, C
37a.
b 012 3Na (^0153045) y
12 3 4
Number of Basketballs, b
Discrete; you can only have whole numbers of basketballs,
b. 8 39. between 2 and 3 s 41. Table for y = 2x hasx
values -1 , 0, 1, 2, 3 and corresponding y-values -2 , 0, 2,
4, 6; graph of the line y = 2x; graph passes through
(0, 0) and (1,2). Table for y = 2x 2 has x values -1 ,0 , 1,
2, 3 and corresponding y-values -2 , 0, 2, 8, 18; graph of
y = 2x2 is U-shaped going through (-1, -2), (0, 0),
(1,2), (2, 8).
Lesso n 4 - 5 pp. 262-267
Go t It? 1. W= 50,000 + 420m
2a. C = 12 + 15n; $162 b. No; making the stay shorter
only halves the daily charge, not the bath charge.
3a. A = b 2 + 2b; 288 in.2
The graph is not a line.
Lesso n Ch eck 1. C= 3.57p 2. f=jj
- y = x + 2 4. 1/ = (d + 1 )3 5. dependent, a;
independent, b 6. You can't add holes and minutes.
The correct rule is t = 15n. 7. Continuous; side
length and area can be any positive real numbers. - 5 + 2.5 = tv
&
, A = \h + 1 h2]
Ex e r c i se s 9. C = I- p = 6.95 + 0.95f 15. a = :
- d= - 1 0 - 50f; -160 ft 19.
99 cm2 21. A = 3w2 - 2w\ 8 ft2 23. Answers may
vary. Sample: The rule covers all values, whereas the
table only represents some of the values. - d=-3 .5 - 108m; -435.5 m
c
Po w er A l g eb r a.co m Selected Answers 879
Selected A n s w e r s