Question 1

A function is described verbally as 'the number of petals on a flower doubles every day starting from one petal on the first day.' Another function is given by the algebraic expression

f(x) = 5x + 2

, where

x

is the number of days. How do these functions compare after 3 days?

Accepted Answer

The verbally described function has more petals than the algebraically given function.

Answer

Both functions have the same number of petals.

Answer

It's impossible to determine without more information.

Answer

The algebraically given function has more petals than the verbally described function.

Question 2

A graph shows a linear function that passes through the points (2,3) and (4,7). Another function is represented in a table with values showing that when

f(x) = 5x + 2

,

x

and when

x=4

,

y=9

. Which statement correctly compares the rates of change between these two functions?

Accepted Answer

The function represented in the table has a higher rate of change than the graphed function.

Answer

Both functions have the same rate of change.

Answer

The graphed function has a higher rate of change than the function represented in the table.

Answer

The rate of change cannot be determined without further information.

Question 3

A table shows the temperature in degrees Fahrenheit at different hours of the day, starting from

f(x) = 5x + 2

at 7 AM and increasing by

x

every hour. Another function is described verbally as 'the temperature increases by

x=4

every half hour starting from

y=9

at 7 AM.' Which function results in a higher temperature by 10 AM?

Accepted Answer

The function described verbally results in a higher temperature by 10 AM.

Answer

It's impossible to determine without knowing the specific hours.

Answer

The function represented in the table results in a higher temperature by 10 AM.

Answer

Both functions result in the same temperature by 10 AM.

Question 4

A function is represented graphically as a straight line that passes through the points (0,2) and (4,10). Another function is given algebraically as

f(x) = 5x + 2

. How do these functions compare in terms of their initial value and rate of change?

Accepted Answer

The graphed function has a higher initial value and rate of change.

Answer

The algebraically given function has a higher initial value but a lower rate of change.

Answer

The algebraically given function has a higher initial value and rate of change.

Answer

The graphed function has a higher initial value but the same rate of change.

Question 5

A function is described verbally as 'the amount of money in a savings account triples every year starting with

f(x) = 5x + 2

200 and it doubles every year. After how many years will the amounts in the two accounts be equal?

Accepted Answer

2 years

Answer

3 years

Answer

4 years

Answer

1 year

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