<span>Inno: use the square root of 9 and the square root of 16
10 is between the perfect squares
3^2 = 9
and
4^2 = 16
Rosa's solution of 9 and 25 uses perfect squares but the wider range leaves more room for error. Roberto's as well with the added problem that 90 is not a perfect square and calculating that square root is just as hard as 10. Andrea's solution requires extrapolation which is best avoided if interpolation is an option and 11 and 12 are not perfect squares.</span>
Answer:
Possible values of x are whole numbers that are lesser than 15 inches
Step-by-step explanation:
We are given;
Base; b = 15 inches
Height; h = 10 inches
Formula for area of triangle is;
A_tria = ½bh
A_tria = ½ × 15 × 10
A_tria = 75 Sq.in
Now, formula for trapezoid is;
A_trapez = ½(a + b)h
Where a is the side parallel to the base.
We are told that the area of the trapezoid is less than twice the area of the triangle.
Thus;
½(a + 15)10 < 2(75)
Simplifying;
5(a + 15) < 150
Divide both sides by 5 to get;
a + 15 < 150/5
a + 15 < 30
Subtract 15 from both sides to get;
a < 30 - 15
a < 15
Possible values of x are whole numbers that are lesser than 15 inches
The age of a tree when the diameter is 11 inches is 80.
<h3>What is the age of the tree?</h3>
The age of the tree increases by 10 with a 1 inch increase in the diameter of the trunk. This represents a linear increase.
The equation that can be used to represent the age of a tree given its diameter is :
age of the tree when the diameter is 4 inches + [(difference between 11 inches and 4 inches) x rate of change in age)
10 + (10 x 7) = 80
To learn more about linear functions, please check: brainly.com/question/26434260
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