Define a variable. Then write and solve an equation for each situation.
2 answers:
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Anything raised to exponent 0 equals 1
So
So we get
The initial length of the pine tree=5 feet.
Groth rate of pine tree =3 feet/year.
The initial length of the pine tree =10 feet.
Groth rate of the maple tree =2 feet/year.
After x years, the height of the pine tree= 5+3x feet and
after x years, the height of the maple tree= 10+2x feet.
The inequality for which, after x year, the pine tree is taller than the maple tree is
.
The inequality for which, the pine tree is at least as tall as the maple tree is .
.
Again, after 3x years, the height of the pine tree= 5+3(3x)=5+9x feet and
after 2x years, the height of the maple tree= 10+2(2x)=10+4x feet.
The inequality for which, after 3x years, the pine tree is taller than the maple tree was after 2x years is
The inequality for which, the pine tree is at least as tall as the maple tree is .