Ans(1):
Given equation is f(x)=-1.5x+6
we can plug any number like x=0 and x=2 to find the f(x) also called y-value
plug x=0
f(x)=-1.5x+6 =-1.5*0+6 =0+6 =6
Hence first point is (0,6)
plug x=2
f(x)=-1.5x+6 =-1.5*2+6 =-3+6 =3
Hence first point is (2,3)
now we can graph both points then join them to get final graph of f(x)=-1.5x+6
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Ans(2):
We can repeat exactly same process for f(x) = -1/2x-5.
So the final graph will look like attached picture:
Answer:
The number of ways the grasshopper can reach the desired destination are 9 ways
Step-by-step explanation:
The directions in which the grasshopper can jump are;
One block north and one block west
By counting, we have;
The number of possible ways are through blocks
1) 1, 2, 5, 6, 8, 10
2) 1, 2, 5, 6, 8, 9
3) 1, 2, 5, 6, 7, 9
4) 1, 2, 3, 6, 8, 10
5) 1, 2, 3, 6, 8, 9
6) 1, 2, 3, 6, 7, 9
7) 1, 2, 3, 4, 7, 9
8) 15, 14, 16, 12, 11, 10
9) 12, 13, 16, 12, 11, 10
Therefore, there 9 ways the grasshopper can reach the desired destination.
