Logarithms And Logarithmic Functions Worksheet With Answers Page 26
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27ANSWER:
ANSWER:
a . 2x + 3 and 3x + 5
b . No; for example, if x = 1, the ratio is 3:5:8, but if x
7-3 Logarithms and Logarithmic Functions
= 2, the ratio is 4:7:11. The ratios are not equivalent.
80. GEOMETRY The volume of a rectangular box can
81. AUTO MECHANICS Shandra is inventory
3
2
manager for a local repair shop. She orders 6
be written as 6x
+ 31x
+ 53x + 30 when the height
batteries, 5 cases of spark plugs, and two dozen pairs
is x + 2.
of wiper blades and pays $830. She orders 3
a. What are the width and length of the box?
batteries, 7 cases of spark plugs, and four dozen pairs
b. Will the ratio of the dimensions of the box always
of wiper blades and pays $820. The batteries are $22
be the same regardless of the value of x? Explain.
less than twice the price of a dozen wiper blades.
Use augmented matrices to determine what the cost
SOLUTION:
of each item on her order is.
a.
SOLUTION:
Divide
by x + 2.
The augmented matrix that represents the situation is
.
Use the graphing calculator to solve the system.
KEYSTROKES: 2ND [MATRIX] ► ► ENTER
3 ENTER 4 ENTER 6 ENTER 5 ENTER 2
ENTER 830 ENTER 3 ENTER 7 ENTER 4
So, the width and length of the rectangular box are
ENTER 820 ENTER 1 ENTER 0 ENTER (–) 2
2x + 3 and 3x + 5.
ENTER (–) 22 ENTER
b.
Find the reduced row echelon form (rref).
No; for example, if x = 1, the ratio is 3:5:8, but if x =
KEYSTROKES: 2ND [QUIT] 2ND [MATRIX]
2, the ratio is 4:7:11. The ratios are not equivalent.
► ALPHA [B] 2ND [MATRIX] ENTER )
ENTER
ANSWER:
a . 2x + 3 and 3x + 5
b . No; for example, if x = 1, the ratio is 3:5:8, but if x
= 2, the ratio is 4:7:11. The ratios are not equivalent.
81. AUTO MECHANICS Shandra is inventory
manager for a local repair shop. She orders 6
batteries, 5 cases of spark plugs, and two dozen pairs
of wiper blades and pays $830. She orders 3
batteries, 7 cases of spark plugs, and four dozen pairs
The first three columns are the same as a
of wiper blades and pays $820. The batteries are $22
less than twice the price of a dozen wiper blades.
identity matrix.
Use augmented matrices to determine what the cost
Thus, batteries cost $74, spark plugs costs $58 and
of each item on her order is.
wiper blades costs $48.
SOLUTION:
ANSWER:
The augmented matrix that represents the situation is
batteries, $74; spark plugs, $58; wiper blades, $48
Solve each equation or inequality. Check your
.
solution.
82.
Use the graphing calculator to solve the system.
SOLUTION:
KEYSTROKES: 2ND [MATRIX] ► ► ENTER
3 ENTER 4 ENTER 6 ENTER 5 ENTER 2
eSolutions Manual - Powered by Cognero
Page 26
ENTER 830 ENTER 3 ENTER 7 ENTER 4
ENTER 820 ENTER 1 ENTER 0 ENTER (–) 2
ENTER (–) 22 ENTER
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