Common Core Standard HSF-BF.A.1a Questions

Grade 11 Functions and Relations CCSS: HSF-BF.A.1, HSF-BF.A.1a

An investment of $1,000 grows by 5% each year. Write a recursive rule for the total value,

$V_n$ , after n years.

$V_n=1.05V_(n-1),V_0=0$
$V_n=1.05V_(n-1),V_0=1000$
$V_n=V_(n-1)+0.05,V_0=1000$
$V_n=1.5V_(n-1),V_0=1000$

Grade 11 Functions and Relations CCSS: HSF-BF.A.1, HSF-BF.A.1a

A car rental company charges a $25 base fee and $0.15 per mile driven. Write a function f(m) to represent the total cost for driving m miles.

f(m)=25+0.15
f(m)=25m+0.15
f(m)=25+0.15m
f(m)=0.15m−25

Grade 11 Functions and Relations CCSS: HSF-BF.A.1, HSF-BF.A.1a

A movie streaming service charges $8 per month plus $2 per movie rented. Write a function f(x) for the total monthly cost if x movies are rented.

f(x)=8+2x
f(x)=2+8x
f(x)=8x−2
f(x)=2x−8

Grade 9 Functions and Relations CCSS: HSF-BF.A.1, HSF-BF.A.1a

Tim goes to the grocery store to buy some almonds. They cost $32.50 per kilogram. If

$a$ represents the total cost of the almonds he buys in dollars and

$w$ represents the weight of the almonds in kilograms, which of the following represents this relationship?

$a(w) = 32.5w$
$a(w) = 32.5 + w$
$a(w) = w/32.5$
$w(a) = 32.5 a$

Grade 10 Functions and Relations CCSS: HSF-BF.A.1, HSF-BF.A.1a

This question is a part of a group with common instructions. View group »

Using the differences of y-values, or the differences of the differences, determine whether the function values in the table are from a linear, quadratic, or exponential function.

Linear
Quadratic
Exponential

Grade 11 Functions and Relations CCSS: HSF-BF.A.1, HSF-BF.A.1a

A concert ticket costs $40, and each parking pass costs $15. Write a function C(p) to represent the total cost for p parking passes.

C(p)=40p+15
C(p)=15p+40
C(p)=40+p
C(p)=55p

Grade 11 Functions and Relations CCSS: HSF-BF.A.1, HSF-BF.A.1a

A population of 1,000 increases by 8% each year. How large will the population be after 5 years? Round to the nearest whole number.

1,360
1,469
1,520
1,700

Grade 11 Functions and Relations CCSS: HSF-BF.A.1, HSF-BF.A.1a

What is the function rule for the total cost, T(x), of x apples, if each apple costs $0.75?

T(x)=0.75x
T(x)=0.75+x
T(x)=0.75−x
T(x)=x−0.75

Grade 9 Functions and Relations CCSS: HSF-BF.A.1, HSF-BF.A.1a

Tina and Chris are taking a road trip. The have traveled 50 miles so far. They are about to go onto a major highway with a posted speed of 65 mph. Which function represents the total distance they will travel (d, in miles) depending on the time (t, in hours) that they drive on the highway?

$t(d) = 50 + 65d$
$t(d) =50d + 65$
$d(t) = 50d + 65$
$d(t) = 50 + 65t$

Grade 11 Functions and Relations CCSS: HSF-BF.A.1, HSF-BF.A.1a

This question is a part of a group with common instructions. View group »

Find the function rule that describes the data from the table.

Grade 11 Functions and Relations CCSS: HSF-BF.A.1, HSF-BF.A.1a

A plant grows 2 inches per week, starting at 5 inches. Write a function f(x) to represent the plant's height after x weeks.

f(x)=5x+2
f(x)=5−2x
f(x)=2x+5
f(x)=2x−5

Grade 11 Functions and Relations CCSS: HSF-BF.A.1, HSF-BF.A.1a

A taxi charges $3 for the first mile and $2 for each additional mile. Write a rule for the total cost, T(m), of m miles.

T(m)=3+2m
T(m)=3+2(m−1)
T(m)=2m−3
T(m)=2(m−1)

Grade 10 Sequences and Series CCSS: HSF-BF.A.1, HSF-BF.A.1a, HSF-LE.A.2

Which recursive function defines the sequence

$0, 2, 2, 10, 18, 58, 130, ...$ for

$n in N ?$

$t(1) = 0; \ \ t(n) = t(n-1) + n-2, \ n>1$
$t(1)=0, \ t(2)=2; \ \ t(n) = t(n-1) + 4t(n-2), \ n>2$
$t(1)=0, \ t(2)=2; \ \ t(n) = t(n-1) + 2t(n-2), \ n>2$
$t(1)=0, \ t(2)=2; \ \ t(n) = t(n-1) + 4(n-2), \ n>2$

Grade 11 Functions and Relations CCSS: HSF-BF.A.1, HSF-BF.A.1a

This question is a part of a group with common instructions. View group »

Given the answer in the previous question, how many points are needed to determine the function rule that describes the values?

2
3
4
All of them.

Grade 11 Functions and Relations CCSS: HSF-BF.A.1, HSF-BF.A.1a

A website has 1,000 visitors initially and loses 50 visitors each month. Write an explicit function to represent the number of visitors, V(m), after m months.

V(m)=1000−50m
V(m)=1000+50m
V(m)=50m−1000
V(m)=1000⋅50m

Grade 11 Functions and Relations CCSS: HSF-BF.A.1, HSF-BF.A.1a

A machine depreciates by 20% annually. If its initial value is $15,000, what is its value after 3 years? Round to the nearest dollar.

$9,600
$7,680
$9,216
$8,000

Grade 10 Sequences and Series CCSS: HSF-BF.A.1, HSF-BF.A.1a, HSF-BF.A.2

Given the sequence defined by

$a(n) = 3 + 5*2^n, \ n in NN, n >=1$ , which of the following recursive formulas defines the same sequence? Assume for all sequences that

$n in NN$ .

$t(1) = 13; \ \ t(n) = 3 + 5*2^(n-1), n>1$
$t(1) = 13; \ \ t(n) = 2 t(n-1), \ n>1$
$t(1) = 13; \ \ t(n) = 13 + t(n-1), \ n>1$
$t(1) = 13; \ \ t(n) = -3 + 2t(n-1), \ n >1$

$\ \ \ \ \ \ \ \ \ mathbf{x} \ \ \ \ \ \ \ \ \$	$\ \ \ \ \ \ -2 \ \ \ \ \ \$	$\ \ \ \ \ \ -1 \ \ \ \ \ \$	$\ \ \ \ \ \ 0 \ \ \ \ \ \$	$\ \ \ \ \ \ 1 \ \ \ \ \ \$	$\ \ \ \ \ \ 2 \ \ \ \ \ \$
$\ \ \ \ \ \ \ \ \ \mathbf{f(x)} \ \ \ \ \ \ \ \ \$	$0.02$	$0.07$	$0.18$	$0.50$	$1.36$

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Common Core Standard HSF-BF.A.1a Questions

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