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This was an exceptionally dry year for portions of the southwestern United States. Monthly precipitation in Phoenix, Arizona, was recorded in the table and is modeled by y = –0.04088x2 + 0.4485x + 1.862.

In what month did Phoenix receive the lowest amount of precipitation?

Month (x) Precipitation
January 2.27 inches
February ?
March ?
April ?
May ?
June ?
July ?
August ?
September 2.59 inches
October ?
November ?
December ?

Sketch a graph or fill in the table to answer the question.
A) January
B) February
C) November
D) December

2 Answers

4 votes

Answer:

D

Explanation:

y = -0.04088x^2 + 0.4485x + 1.862

y is the amount of precipitation,

x is the month (1 for January, 2 for February, etc.)

The amount of precipitation from Jan to Dec are listed below

(generated with R language, a handy software)

2.26962 2.59548 2.83958 3.00192 3.08250 3.08132 2.99838 2.83368 2.58722 2.25900 1.84902 1.35728

The month with lowest precipitation is December

User Ungalcrys
by
8.3k points
4 votes

Answer:

D) December

Explanation:

The given equation to model the monthly precipitation in Phoenix, Arizona is:


y = -0.04088x^2 + 0.4485x + 1.862

where:

  • y is the monthly precipitation (in inches).
  • x is the number of the month (January = 1).

To determine the month in which Phoenix received the lowest amount of precipitation, fill in the table by inputting each value of x into the equation. Round the value of y to 2 decimal places.


\begin{array}l\cline{1-3}&x&y\\\cline{1-3}\sf January &1&2.27\\\cline{1-3}\sf February &2&2.60\\\cline{1-3}\sf March &3&2.84\\\cline{1-3}\sf April &4&3.00\\\cline{1-3}\sf May &5&3.08\\\cline{1-3}\sf June &6&3.08\\\cline{1-3}\sf July &7&3.00\\\cline{1-3}\sf August &8&2.83\\\cline{1-3}\sf September &9&2.59\\\cline{1-3}\sf October & 0&2.26\\\cline{1-3}\sf November &11&1.85\\\cline{1-3}\sf December &12&1.36\\\cline{1-3}\end{array}

Reading from the table, the month in which Phoenix received the lowest amount of precipitation was December, when only 1.36 inches of precipitation was recorded.

User Rajat Beck
by
8.9k points
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