Quiz about Modeling

Question 1

One college states that the number of men, $$M$$, and the number of women, $$W$$, receiving bachelor degrees $$t$$ years since 1980 can be modeled by the functions $$M(t)=526-t$$ and $$W(t)=474+2 t$$ respectively.

Let $${N}$$ be the total number of students receiving bachelors degrees at that college $$t$$ years since 1980 . Write a formula for $$N(t)$$ in terms of $$t$$.

Accepted Answer

Covalent bond

Answer

$$1000+t$$

Answer

$$1200-t$$

Answer

$$t$$

Answer

$$100$$

Question 2

Choose the correct line plot for the given percent chances of rain in different cities. $$65,65,70,70,80,80,80,80,85,95,95,95,100$$

Accepted Answer

Covalent bond

Answer

![](http://admin.getprephub.com/media/editor/Screenshot%202023-05-04%20at%205.41.06%20PM_20230504154141990365.png)

Answer

![](http://admin.getprephub.com/media/editor/Screenshot%202023-05-04%20at%205.42.16%20PM_20230504154243827751.png)

Answer

![](http://admin.getprephub.com/media/editor/Screenshot%202023-05-04%20at%205.42.25%20PM_20230504154258667057.png)

Answer

![](http://admin.getprephub.com/media/editor/Screenshot%202023-05-04%20at%205.42.33%20PM_20230504154310002904.png)

Question 3

After the closing of the mills, the population of the town starts decreasing exponentially.

The graph below represents the population, $${P}$$, in thousands, of the town $${t}$$ years after the closing of the mill. Based on the graph, with the mill closed, what does the population of the town approach as time increases?

![](http://admin.getprephub.com/media/editor/mo11_20230120085218046290.png)

Accepted Answer

Covalent bond

Answer

$$20,000 $$

Answer

$$30,000 $$

Answer

$$40,000$$

Answer

$$ 10,000$$

Question 4

Devorah is filling a pool with a hose. The volume, $${H}$$, in liters, of water coming out of the hose in $${m}$$ minutes is given by the function $${H}({m})=17.4 {~m}$$. However, it is a sunny day, and water is also evaporating from the pool. Therefore, the volume, $$V$$, in liters, of water in the pool $$m$$ minutes after Devorah started filling it is given by $$V({~m})=17 {~m}$$.

Let $${E}$$ be the volume of water, in liters, that has evaporated from the pool $${m}$$ minutes after Devorah started filling it.

Write a formula for $${E}({m})$$ in terms of $${m}$$.

Accepted Answer

Covalent bond

Answer

$$0.4 {~m}$$

Answer

$$ {17 {~m}}$$

Answer

$$34 {~m}$$

Answer

$$ 34.4 {~m}$$

Question 5

The distance and time that Amiliya runs each day depends on the number of hours, $$h$$, that she works. The distance, $${D}$$, in miles, and time, $${T}$$, in minutes, that she runs are given by the functions $${D}({h})=-0.5 {~h}+9.5$$, and $$T(h)=-5.5 h+92.5$$ respectively.

Let $${R}$$ be the average speed that Amiliya runs on a day in which she works $$h$$ hours.

Accepted Answer

Covalent bond

Answer

$$\frac{-0.5 h+9.5}{-5.5 h+92.5} $$

Answer

$$\frac{h}{5}$$

Answer

$$\frac{h+9.5}{0.5492 .5}$$

Answer

$$-5 h+102$$

Modeling Algebra 2 Maths Problems and Solutions

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