Algebra I June 2015 NYS Regents Common Core Problem 37 pt IX analysis of quadratics

function C(n) 110n 900, where n is the number of times the
commercial is aired. Based on this model, which statement is true?
(1) The commercial costs $0 to produce and $110 per airing up to
$900.
(2) The commercial costs $110 to produce and $900 each time it is
aired.
(3) The commercial costs $900 to produce and $110 each time it is
aired.
(4) The commercial costs $1010 to produce and can air an unlimited
number of times.
2 The graph below represents a jogger’s speed during her 20-minute
jog around her neighborhood.
Which statement best describes what the jogger was doing during
the 9–12 minute interval of her jog?
(1) She was standing still.
(2) She was increasing her speed.
(3) She was decreasing her speed.
(4) She was jogging at a constant rate.
2 4 6 10 12 14 18 20
2
Which statement best describes what the jogger was doing during
the 9–12 minute interval of her jog?
(1) She was standing still.
(2) She was increasing her speed.
(3) She was decreasing her speed.
(4) She was jogging at a constant rate.
3 If the area of a rectangle is expressed as x4 9y2, then the product computations.
of the length and the width of the rectangle could be expressed as
(1) (x 3y)(x 3y) (3) (x2 3y)(x2 3y)
(2) (x2 3y)(x2 3y) (4) (x4 y)(x 9y)
(1) y ≥ 3x 4 (3) y ≥ 4x 3
(2) y ≤ 3x 4 (4) y ≤ 4x 3
6 Mo’s farm stand sold a total of 165 pounds of apples and peaches. computations.
She sold apples for $1.75 per pound and peaches for $2.50 per
pound. If she made $337.50, how many pounds of peaches did she
sell?
(1) 11 (3) 65
(2) 18 (4) 100
7 Morgan can start wrestling at age 5 in Division 1. He remains in that
division until his next odd birthday when he is required to move up
to the next division level. Which graph correctly represents this
information?
8 Which statement is not always true? computations.
(1) The sum of two rational numbers is rational.
(2) The product of two irrational numbers is rational.
(3) The sum of a rational number and an irrational number is irrational.
(4) The product of a nonzero rational number and an irrational
number is irrational.
9 The graph of the function is shown below.
The domain of the function is
(1) { x | x 0} (3) { x | x 4}
(2) { x | x ≥ 0} (4) { x | x ≥ 4}
10 What are the zeros of the function f(x) x2 13x 30?
(1) 10 and 3 (3) 15 and 2
(2) 10 and 3 (4) 15 and 2
11 Joey enlarged a 3-inch by 5-inch photograph on a copy machine.
He enlarged it four times. The table below shows the area of the
photograph after each enlargement.
What is the average rate of change of the area from the original
photograph to the fourth enlargement, to the nearest tenth?
(1) 4.3 (3) 5.4
(2) 4.5 (4) 6.0
12 Which equation(s) represent the graph below?
I y (x 2)(x2 4x 12)
II y (x 3)(x2 x 2)
III y (x 1)(x2 5x 6)
11 Joey enlarged a 3-inch by 5-inch photograph on a copy machine.
He enlarged it four times. The table below shows the area of the
photograph after each enlargement.
What is the average rate of change of the area from the original
photograph to the fourth enlargement, to the nearest tenth?
(1) 4.3 (3) 5.4
(2) 4.5 (4) 6.0
12 Which equation(s) represent the graph below?
I y (x 2)(x2 4x 12)
II y (x 3)(x2 x 2)
III y (x 1)(x2 5x 6)
13 A laboratory technician studied the population growth of a colony of computations.
bacteria. He recorded the number of bacteria every other day, as
shown in the partial table below.
Which function would accurately model the technician’s data?
(1) f(t) 25t (3) f(t) 25t
(2) f(t) 25t1 (4) f(t) 25(t 1)
Which quadratic function has the largest maximum?
15 If f(x) 3x and g(x) 2x 5, at which value of x is f(x) g(x)?
(1) 1 (3) 3
(2) 2 (4) 4
h(x) (3 x)(2 x) k(x) 5x2 12x 4
15 If f(x) 3x and g(x) 2x 5, at which value of x is f(x) g(x)?
(1) 1 (3) 3
(2) 2 (4) 4
16 Beverly did a study this past spring using data she collected from a
cafeteria. She recorded data weekly for ice cream sales and soda sales.
Beverly found the line of best fit and the correlation coefficient,
as shown in the diagram below.
Given this information, which statement(s) can correctly be concluded?
I. Eating more ice cream causes a person to become thirsty.
II. Drinking more soda causes a person to become hungry.
III. There is a strong correlation between ice cream sales and soda sales.
(1) I, only (3) I and III
(2) III, only (4) II and III
17 The function V(t) 1350(1.017)t represents the value V(t), in dollars,
of a comic book t years after its purchase. The yearly rate of
appreciation of the comic book is
(1) 17% (3) 1.017%
(2) 1.7% (4) 0.017%
18 When directed to solve a quadratic equation by completing the computations.
square, Sam arrived at the equation (x -5/2 )^2
= 13/4
. Which equation
could have been the original equation given to Sam?