On average, a single apple tree produces 600 apples in a month; however, overcrowding can diminish a tree’s yield. For every tree over 30 trees in an acre of apple orchard, the number of apples produced by each tree goes down by 10 apples per month. (a) Construct a formula for the number of apples A(t) produced in a month if t trees are planted in an acre. (HINT: you might need a piecewise function) (b) Find the domain of A. (c) Find the maximum number of apples an acre of trees can produce, and find the number of trees needed to yield that many apples. (d) Sketch the graph of A(t).
On average, a single apple tree produces 600 apples in a month; however, overcrowding can diminish a tree’s yield. For every tree over 30 trees in an acre of apple orchard, the number of apples produced by each tree goes down by 10 apples per month. (a) Construct a formula for the number of apples A(t) produced in a month if t trees are planted in an acre. (HINT: you might need a piecewise function) (b) Find the domain of A. (c) Find the maximum number of apples an acre of trees can produce, and find the number of trees needed to yield that many apples. (d) Sketch the graph of A(t).
On average, a single apple tree produces 600 apples in a month; however, overcrowding can diminish a tree’s yield. For every tree over 30 trees in an acre of apple orchard, the number of apples produced by each tree goes down by 10 apples per month. (a) Construct a formula for the number of apples A(t) produced in a month if t trees are planted in an acre. (HINT: you might need a piecewise function) (b) Find the domain of A. (c) Find the maximum number of apples an acre of trees can produce, and find the number of trees needed to yield that many apples. (d) Sketch the graph of A(t).
On average, a single apple tree produces 600 apples in a month; however, overcrowding can diminish a tree’s yield. For every tree over 30 trees in an acre of apple orchard, the number of apples produced by each tree goes down by 10 apples per month. (a) Construct a formula for the number of apples A(t) produced in a month if t trees are planted in an acre. (HINT: you might need a piecewise function) (b) Find the domain of A. (c) Find the maximum number of apples an acre of trees can produce, and find the number of trees needed to yield that many apples. (d) Sketch the graph of A(t).
Definition Definition Group of one or more functions defined at different and non-overlapping domains. The rule of a piecewise function is different for different pieces or portions of the domain.
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