While at the cliff, the twins decided to compete to see who could travel the most distance from the cliff to the water to the water when they jumped. John jumped at three different places above the water: from a height of 15ft, 16 ft and 18 ft. Kyle’s first two jumps started at 20 ft and 14ft above the water. From what height will Kyle’s third jump have to be to tie with John?

wow ok so the answer is 1k or just k

because of combining like terms xd

umm im not really sure because i never had to do this

step-by-step explanation:

ѕнє ¢αи ∂яινє 132 кιℓσмєтєяѕ

нσρє ι ¢συк∂ нєℓρ

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.