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Answer:
a) $3.45
b) P(x) = 0.0003x -18
c) $3.00, A
Step-by-step explanation:
a) When the family income is $71,500, it exceeds $70,000 by ...
$71,500 -70,000 = $1500
Then the price of the child's lunch will be ...
$3.00 + 0.0003×1500 = $3.45
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b) For family income in the given range, the price of a lunch will be ...
P(x) = 3.00 + 0.0003(x -70000) = 3.00 +0.0003x -21.00
P(x) = 0.0003x -18.00
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c) P(70000) = 0.0003×70000 -18 = 3×7-18 = 3.00
The definition of P(x) in part (b) tells you the meaning of this. x=70,000 is the family's annual income; P(x) is the price of a lunch.
P(70,000) is the price of a lunch for a child whose family annual income is $70,000.
