When constructing the Hoover Dam, rock and concrete mix were put in a machine th

Question

When constructing the Hoover Dam, rock and concrete mix were put in a machine that continuously produced 88 tons of concrete every 5 minutes (assume a constant rate of change of 88 tons per 5 minutes). Let t represent the varying number of minutes elapsed since 12:00 am.

1) Which of the following quantities are varying in this situation? Select ALL that apply.

a) the number of tons of concrete produced in 2 minutes

b) the number of tons of concrete in the completed Hoover Dam

c) the number of tons of concrete left to produce to complete the Hoover Dam

d) the number of tons of concrete produced since the start of construction

e) the number of minutes elapsed since 12:00 am

2) As the number of minutes since 12:00 am changes from t=120 to t=126, what is the corresponding change in the number of tons of concrete produced, n? ___________________________________tons   

3) How many tons of concrete were produced during any 6-minute period of time? __________________________tons   

4) How many tons of concrete were produced during any 1-minute period of time? ____________________________tons   

5) How many tons of concrete were produced during any 0.6 minute period of time? ___________________________tons   

6) Use delta notation to write a formula to represent the change in the number of tons of concrete produced, n, in terms of the change in the number of minutes elapsed 12:00am, t. (Use "d" to ente . For example, type dx+5 for x+5 .) n=__________________________

Explanation / Answer

dw/dt = 88/5 = 17.6

w = 17.6 t

1) Which of the following quantities are varying in this situation? Select ALL that apply

a) the number of tons of concrete produced in 2 minutes = 17.6*2 = 35.2 tons

2) As the number of minutes since 12:00 am changes from t=120 to t=126, what is the corresponding change in the number of tons of concrete produced, n? __6*17.6 = 105.6____tons   

3) How many tons of concrete were produced during any 6-minute period of time? __6*17.6 = 105.6_______tons   

4) How many tons of concrete were produced during any 1-minute period of time? __________________17.6__________tons   

5) How many tons of concrete were produced during any 0.6 minute period of time? ________________0.6*17.6 = 10.56___tons   

6) Use delta notation to write a formula to represent the change in the number of tons of concrete produced, n, in terms of the change in the number of minutes elapsed 12:00am, t. (Use "d" to ente . For example, type dx+5 for x+5 .) n=______17.6 dt____________________

Related Questions

Navigate

• Browse (All)
• Browse W
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.