9 mr. jones bought a container in the form of a rectangular prism. its measurements are 1.8 meters wide, 6…

9 mr. jones bought a container in the form of a rectangular prism. its measurements are 1.8 meters wide, 6 meters long, and 2.5 meters high. what is the volume of the container in cubic meters? a v = 24 m³ b v = 13.5 m³ c v = 29.4 m³ d v = 27 m³ 10 daniel works as a dishwasher in a restaurant. he earns $7.50 per hour. which of the following does not represent the relationship between the number of hours worked and the money he earns? a e = 7.50t, where e is the total money earned and t is the number of hours worked. b work money number of hours, t money earned, e 4 $30 8 $80 12 $120 16 $140 c daniel earns $225 for 30 hours worked. d work money e 100 80 60 40 20 0 2 4 6 8 10 t time (hours) money earned (dollars)

9 mr. jones bought a container in the form of a rectangular prism. its measurements are 1.8 meters wide, 6 meters long, and 2.5 meters high. what is the volume of the container in cubic meters? a v = 24 m³ b v = 13.5 m³ c v = 29.4 m³ d v = 27 m³ 10 daniel works as a dishwasher in a restaurant. he earns $7.50 per hour. which of the following does not represent the relationship between the number of hours worked and the money he earns? a e = 7.50t, where e is the total money earned and t is the number of hours worked. b work money number of hours, t money earned, e 4 $30 8 $80 12 $120 16 $140 c daniel earns $225 for 30 hours worked. d work money e 100 80 60 40 20 0 2 4 6 8 10 t time (hours) money earned (dollars)

Answer

Explanation:

Step1: Recall volume formula for rectangular prism

The volume formula for a rectangular prism is $V = l\times w\times h$, where $l$ is length, $w$ is width and $h$ is height.

Step2: Identify given values

Given $l = 6$m, $w=1.8$m and $h = 2.5$m.

Step3: Calculate volume

$V=6\times1.8\times2.5=6\times4.5 = 27$ $m^{3}$

Step4: Analyze problem 10 - check option A

The formula $e = 7.50t$ correctly represents the relationship between total money earned $e$ and number of hours $t$ since the rate is $7.50$ per hour.

Step5: Analyze problem 10 - check option B

For $t = 4$, $e=7.50\times4 = 30$; for $t = 8$, $e=7.50\times8=60\neq80$; for $t = 12$, $e=7.50\times12 = 90\neq120$; for $t = 16$, $e=7.50\times16=120\neq140$. So option B does not represent the relationship.

Step6: Analyze problem 10 - check option C

If $t = 30$, then $e=7.50\times30=225$, so option C represents the relationship.

Step7: Analyze problem 10 - check option D

The points on the graph follow the pattern of $e = 7.50t$. For example, when $t = 2$, $e=7.50\times2 = 15$; when $t=4$, $e = 7.50\times4=30$ and so on.

Answer:

  1. D. $V = 27$ $m^{3}$
  2. B.