Chapter 2 Knowledge Check Answer Key

Knowledge Check 2.1

1.	Intercept	Slope
a. $y = 6+3x$	6	3
b. $t = 2n+4$	4	2
c. $5s = 10-5r$	2	-1 (note that $s = 2-r$ )

2. a. $T = 90+0.5x$

X	T
0	90
80	130
150	165

d. 140 minutes

Knowledge Check 2.2

Slope: $\frac{212°F - 32°F}{100°C - 0°C}=\frac{180°F}{100°C}=1.8 \frac{°F}{°C}$
Using the point (0°C, 32°F): $$32 = a +1.8(0)$ , so a = 32°F
F = 32 + l .8°C. So putting in C = 20, we have $F =32+1.8\times 20 = 68°F$

Knowledge Check 2.3

$120 = 0.5r + 0.4s$
$80 = 0.3r + 0.4s$
$s = 50$
$r = 200$

Knowledge Check 2.4

$C = 75,000 + 6.5x$
13,637 bags
15,455 bags

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