Answer:
D. y[9]=15.5410
Step-by-step explanation:
Let's find the answer by using the following observation:
Notice that the y-value differences between consecutives obstacles are:
(y-value from obstacule 2) - (y-value from obstacule 1)= 7.975 - 7.25 = 0.725
which is equal to:
(y-value from obstacule 1) / 10 = 7.25 / 10 = 0.725
So, an equation can be written as follows:
y[i+1]=y[i]+y[i]/10 let's find the other values:
y[2]=7.25+(7.25/10)= 7.975
y[3]=7.975+(7.975/10)= 8.7725
y[4]=8.7725+(8.7725/10)= 9.64975
Notice that we obtained the same y-values using the formula as the ones reported. So using the same formulas we can calculate:
y[9]=15.5410
In conclusion, the general equation is y[i+1]=y[i]+y[i]/10 with a starting point (1, 7.25) and y[9]=15.5410. So the answer is D.
