6. The volume of a solid object is equal to the volume of water it displaces when completely submerged in water. A solid object will be placed in a rectangular tank that has a base of 40 in by 30 in and is filled with water to a uniform depth of 10 in. When the object is completely submerged, the new depth of the water in the tank is \( 10\frac{1}{2} \) in. What is the volume, in cubic inches, of the object?
F. 120
G. 600
H. 1,095
J. 1,260
K. 2,400
7. In the standard (x,y) coordinate plane below, one of the following absolute value functions is graphed. Which one?
A. f(x) = −⎪x − 3⎪ + 2
B. f(x) = −⎪x + 3⎪ + 2
C. f(x) = −⎪x − 3⎪ − 2
D. f(x) = ⎪x + 3⎪ + 2
E. f(x) = ⎪x − 3⎪ + 2
8. Twenty households in a community were surveyed to determine how many bicycles they owned. The results were recorded and listed below. No household had 6 or more bicycles.
Based on the data in the table, what is the expected value of the number of bicycles from a household in this community, rounded to the nearest tenth of a bicycle?
F. 1.0
G. 2.0
H. 2.5
J. 2.8
K. 3.5
9. In ΔABC shown below, the lengths of the sides and an altitude are given in meters. Which of the following expressions gives the area, in square meters, of ΔABC ?
10. Anna will save $5 in Week 1, $6 in Week 2, and $7 in Week 3, saving $1 more each subsequent week until she saves $20 in Week 16. She will then start over, saving $5 in Week 17, then $6 in Week 18, saving $1 more each subsequent week, until she saves $20 in Week 32. This pattern will continue for all 52 weeks of the year. What is the total amount of money Anna will save in 1 full year?
F. $345
G. $468
H. $510
J. $520
K. $626