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Answer: y = 6x +10.
After 7 weeks there will not be any coconut on the tree.
Step-by-step explanation: Given initial number of coconuts under the tree = 10 coconuts.
The rate of falling of coconuts each week = 6 coconuts per week.
Let us assume number of weeks be x and y be total number of coconuts after x weeks.
So, total number of coconuts after x weeks would be = Rate of falling of coconuts × number of weeks + Initial number of coconuts.
Therefore,
y = 6x +10.
a) y = 6x +10
Let us graph the linear equation with y-intercept 10 and slope rise/run = 6/1.
b) Total number of coconuts after x weeks = 52.
Plugging y=52 in above equation, we get
52 = 6x+10.
Subtracting 10 from both sides, we get
52-10 = 6x=10-10
42 = 6x.
Dividing both sides by 6, we get
42/6 = 6x/6
7 = x.
Therefore, after 7 weeks there will not be any coconut on the tree.
