Drag contestant to place: Waldo

Wallabies Waldo, Walleta, and Wallis are in a jumping contest. Match each

wallaby to its jump and locate on the number line. Any jump backwards

from the starting point is considered a negative jump. Only positive jumps

can win.

a. Waldo, the tallest wallaby, jumped the farthest, but the shortest

wallaby did not jump the least distance.

b. One got confused and jumped 3 meters in the wrong direction.

C. The other two jumps were meters and 2 meters in the right

direction

d. Wallis is 3 feet tall. The others are 4 feet and feet tall.

Wallis

Walleta

*To change your answer, re-drag the

contestant from this box.

Tick Marks

How would you like the tick marks displayed on the number line?

O Halves

Thirds O Fourths O Fifths

O Ninths

Tenths

Twelfths

Sixth

Eighths

Show Number Line

answer:

sometimes

*i think

a) 40 more; b) old factory:   10%, new factory:   16%; c) week 4

explanation:

a) at week 0, we see in the graph that the new factory produces 190 specialty items.  

using the function, substituting 0 in for w,

this is a difference of 230-190 = 40.

b) the function for the old factory is written in the form f(x) = a(1+r)ˣ, where a is the original amount, x is the amount of time and r is the growth rate.   the equation for the old factory is ; 230 is in place of a and is the original amount; w is the amount of time; which means 1+r = 1.1.   this means that r must be 0.1 or 10%.

for the new factory, we find the percent of increase to find the growth rate; the formula for this is

between the first two points, the amount of change is 220-190 = 30; this gives us

30/190 = 0.158 ≈ 0.16 = 16%

c) at week 0, the old factory has 230 while the new factory has 190.

at week 1, the old factory has 230(1.1) = 253 while the new factory has 220.

at week 2, the old factory has 230(1.1²) = 278.3 while the new factory has 252.

at week 3, the old factory has 230(1.1³) = 306.13 while the new factory has 290.

at week 4, the old factory has 230(1.1⁴) = 336.743 while the new factory has 337.   this is the first week that the new factory surpasses the old.

i have no