BY380 homework (Tuesday, September 15, 1998)

Please answer on separate paper attached to this page and show your work when applicable.

1. Sketch a graph of the equation y = 12 - 6x.

2. What is the equation for a line that includes the points (0,1) and (1,5)?

3. What is the equation for a line that includes the points (1,1) and (2,5)?

4. At what point do the two lines y = x - 6 and y = 3x + 7 intersect?

5. log₇(1) =

(a) 0.24

(b) ln(6)

(c) log₁₀(1)

(d) 16

6. Solve for x in the equation 10 = 6 + 7^x.

7. If log₁₀(a/b) = 2, then which of the following statements is true:

(a) a = 100b

(b) b = 100a

(c) ab =100

(d) nothing can be said about the relationship

between a and b

EXTRA CREDIT: Given the two points (data are fictitious)

body mass (g) heart rate (beats/minute)

60,000 60

200 175

estimate the allometric relationship between body mass (BM) and heart rate (HR), i.e. BM = ?HR^?.