Chapter 2 Knowledge Check Answer Key
Knowledge Check 2.1
1. | Intercept | Slope |
a. [latex]y = 6+3x[/latex] | 6 | 3 |
b. [latex]t = 2n+4[/latex] | 4 | 2 |
c. [latex]5s = 10-5r[/latex] | 2 | -1 (note that [latex]s = 2-r[/latex]) |
2. a. [latex]T = 90+0.5x[/latex]
X | T |
0 | 90 |
80 | 130 |
150 | 165 |
d. 140 minutes
Knowledge Check 2.2
- Slope: [latex]\frac{212°F - 32°F}{100°C - 0°C}=\frac{180°F}{100°C}=1.8 \frac{°F}{°C}[/latex]
- Using the point (0°C, 32°F): [latex]$32 = a +1.8(0)[/latex], so a = 32°F
- F = 32 + l .8°C. So putting in C = 20, we have [latex]F =32+1.8\times 20 = 68°F[/latex]
Knowledge Check 2.3
- [latex]120 = 0.5r + 0.4s[/latex]
- [latex]80 = 0.3r + 0.4s[/latex]
- [latex]s = 50[/latex]
- [latex]r = 200[/latex]
Knowledge Check 2.4
- [latex]C = 75,000 + 6.5x[/latex]
- 13,637 bags
- 15,455 bags