Question

the population of frisco, tx in 2002 was 210,000. in 2003, the population increased 20%. what was the population of frisco in 2003?
a. 42,000
b. 214,200
c. 252,000
d. 4,200,000

9 which statement is most true?
f $-54$ is an integer.
g $-5.34$ is an integer.
h $-73$ is a natural number.
j $\frac{36}{12}$ is a whole number.

11 warren is trying to find the distance to the bottom of a trench by using similar triangles as shown. triangle lmn is similar to triangle pon. what is the value of $x$?
a. 12 m
b. 24 m
c. 30 m
d. 60 m

8 the graph represents a proportional relationship. two of the points are shown on the graph.
what is the constant of proportionality?
a. 0.6
b. 1.5
c. 2
d. 3

10 jan bought 3.5 yards of fabric to make pillows. the total cost was $22.75. what was the cost per yard of fabric in dollars?

12 a cutting board is created with congruent light pieces and congruent dark pieces of wood, as shown in the figure. all angles are right angles.
what is the combined area of the dark pieces of wood in square inches?
a.399.75 in.
b.877.5 in.
c.478.5 in.
d.253.5 in.

Explanation:

Step1: Calculate 20% of 210,000

$\text{Increase} = 210000 \times \frac{20}{100} = 42000$

Step2: Add increase to 2002 population

$210000 + 42000 = 252000$

Step1: Pick a point (x,y) from graph

Use $(3, 4.5)$

Step2: Compute proportionality constant $k=\frac{y}{x}$

$k = \frac{4.5}{3} = 1.5$

Step1: Define integer, natural/whole numbers

Integers: all positive/negative whole numbers; natural numbers: positive integers; whole numbers: non-negative integers.

Step2: Evaluate each option

F: $-54$ is an integer (true); G: $-5.34$ is not integer; H: $-73$ is not natural; J: $\frac{36}{12}=3$ is whole, but F is simpler true statement.

Step1: Set up cost per yard formula

$\text{Cost per yard} = \frac{\text{Total Cost}}{\text{Yards of Fabric}}$

Step2: Substitute values and calculate

$\text{Cost per yard} = \frac{22.75}{3.5} = 6.5$

Answer:

C. 252,000

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