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Homework 3/18

Total questions: 12

Worksheet time: 6mins

Name
Class
Date
1.

The table shows the number of people in a particular country over, t, in years.

Which function, f(t), best models the number of bacteria cells over time, t, where t is between 0 and 3?

a)

f(t)=5(50)tf\left(t\right)=5\left(50\right)^t

b)

f(t)=5t+50f\left(t\right)=5t+50

c)

f(t)=50(5)tf\left(t\right)=50\left(5\right)^t

d)

f(t)=50t+5f\left(t\right)=50t+5

2.

The table shows the population in a particular colony over time, t, in days.

Which function, f(t), best models the number of bacteria cells over time, t, where t must be between 0 and 3?

a)

f(t)=2(50)tf\left(t\right)=2\left(50\right)^t

b)

f(t)=50t+50f\left(t\right)=50t+50

c)

f(t)=2t+50f\left(t\right)=2t+50

d)

f(t)=50(2)tf\left(t\right)=50\left(2\right)^t

3.

In the following graph, which are the most appropriate units for the rate of change in the graph?

a)

Deer PopulationYears\frac{Deer\ Population}{Years}

b)

YearsDeer Population\frac{Years}{Deer\ Population}

c)

DaysDeer Population\frac{Days}{Deer\ Population}

d)

YearsDays\frac{Years}{Days}

4.

What would be the domain for the function?

a)

x80x\ge80

b)

x<0x<0

c)

x<80x<80

d)

x0x\ge0

5.

What is the range of the function?

a)

y>80y>80

b)

y80y\ge80

c)

y<0y<0

d)

y0y\ge0

6.

Write the equation of the line in slope-intercept form.

a)

y=23x+2y=-\frac{2}{3}x+2

b)

y=2x+23y=2x+\frac{2}{3}

c)

y=23x+2y=\frac{2}{3}x+2

d)

y=2x+2y=2x+2

7.

Write the equation of the line in standard form.

a)

2x+2y=22x+2y=2

b)

x2y=2x-2y=2

c)

x+y=2x+y=2

d)

2xy=22x-y=2

8.

Convert the following equation from slope-intercept form to standard form

y=3x4y=3x-4

a)

y - 4 = 3x

b)

3x + y = 4

c)

y + 3x = 4

d)

3x - y = 4

9.

Convert the following from standard form to slope intercept form.

10x3y=3010x-3y=30

a)

y=103x10y=\frac{10}{3}x-10

b)

y=103x10y=-\frac{10}{3}x-10

c)

y=103x+10y=\frac{10}{3}x+10

d)

y=103x+30y=\frac{10}{3}x+30

10.

For the following table, which is the most appropriate units of measurements.

a)

MinutesSeconds\frac{Minutes}{Seconds}

b)

MinutesTotal Charges\frac{Minutes}{Total\ Ch\arg es}

c)

DollarsMinute\frac{Dollars}{Minute}

d)

Total ChargesMinutes\frac{Total\ Ch\arg es}{Minutes}

11.

What is the average rate of change in the number of shingles from 20 minutes to 40 minutes?

a)

15 dollars per minute

b)

5 dollars per minute

c)

.25 dollars per minute

d)

4 dollars per minute

12.

Solve the following

5(10x5)>10x+505-\left(10x-5\right)>10x+50

a)
x > -2
b)

x > 4

c)
x < -2
d)

x < -4