Question

Part A

There is a function f, where f(n) = 1200n + 3500 represents the number of people in a town who owned a smartphone n years after 2007. How many people owned a smartphone in this town in the year 2010 ?

Enter your answer in the box

____________

Part B

There is a function p, where p(x) represents the percent of adults in the United States who owned a smartphone x years after 2011. What does p(5) = 68 represent?

Select from the drop-down menus to correctly complete the sentence.

In the year ___________ 2011 or 2016 ____________ 5 or 68 or 5% or 68% of the adults in the United States owned a smartphone.

Answer 1

@Sam

Answer 2

@mikewwe13

n represents years after 2007

so 1 year after 2007, it's 2008
2 years after 2006, it's 2009
3 years after 2006, it's 2010

therefore, when it's 2010, n = 3

Answer 3

so let n = 3 and calculate f(n) = 1200n + 3500 = ?

Answer 4

100(12n + 35)

Answer 5

n = 3 means you can replace "n" with 3 when 3 shows up

write this

f(n) = 1200*n + 3500
replace "n" with 3

then solve.

Answer 6

f(3) = 1200n + 3500 = f = 400n + 3500/3

Answer 7

just ignore the f(n) part for now

Answer 8

1200*n + 3500 = ?

Answer 9

what about the x with n ?

Answer 10

there is no x here

Answer 11

write this down
1200*n + 3500 = ?

replace "n" with 3

then figure out what the expression is equal to

Answer 12

* means multiply

Answer 13

7100

Answer 14

7,100

Answer 15

good so that's your answer for part 1

Answer 16

7,100

Answer 17

Part B

There is a function p, where p(x) represents the percent of adults in the United States who owned a smartphone x years after 2011. What does p(5) = 68 represent?

Select from the drop-down menus to correctly complete the sentence.

In the year ___________ 2011 or 2016 ____________ 5 or 68 or 5% or 68% of the adults in the United States owned a smartphone.

Answer 18

p(5) = 68 means that x = 5 and p(5) = 68, which means that the percentage of people who owned a smartphone 5 years after 2011 is 68%

Answer 19

what year is it, if it is 5 years after 2011?

Answer 20

2006

Answer 21

add, don't subtract

Answer 22

2011 + 5 = ?

Answer 23

2016

Answer 24

i meant that at first

Answer 25

good so your first blank is 2016 and your second blank is 68%

Answer 26

Each day, Ben wants to consume at least 350 grams of protein and carbohydrates combined. He also wants the amount of carbohydrates he consumes to be no more than 3 times the amount of protein.

Part B

Which combinations allows Ben to consume at least 350 grams of protein and carbohydrates combined while limiting the carbohydrates to no more than 3 times the amount of protein ?

Select all that apply.

A. 70 grams of protein and 270 grams of carbohydrates

B. 75 grams of protein and 275 grams of carbohydrates

C. 80 grams of protein and 260 grams of carbohydrates

D. 90 grams of protein and 270 grams of carbohydrates

E. 100 grams of protein and 290 grams of carbohydrates

Answer 27

for each letter choice, add the grams of protein and carbohydrates

for example, for A, add 70 and 270

repeat this process for each letter and let me know what you get

use a template like this:

A = 70 + 270 = 340

Answer 28

340

Answer 29

good, keep going for B, C, D, E, etc.

Answer 30

B. 350

C. 340

D. 360

E. 390

Answer 31

good, so if we want the sum of the grams to be ~at least~ 350, we can eliminate one letter. Which letter has a sum less than 350?

Answer 32

60

Answer 33

which letter, please?

Answer 34

A. 340

B. 350

C. 340

D. 360

E. 390

which two letters have a number less than 350?

Answer 35

C.

Answer 36

there's one more, which one?

Answer 37

B.

Answer 38

350 is not less than 350, so not B

Answer 39

which letters have a number LESS than 350?

Answer 40

D.

Answer 41

\(\color{#0cbb34}{\text{Originally Posted by}}\) @Vocaloid
A. 340

B. 350

C. 340

D. 360

E. 390

which two letters have a number less than 350?
\(\color{#0cbb34}{\text{End of Quote}}\)

Answer 42

we are looking for numbers ~SMALLER~ than 350

Answer 43

C. D.

Answer 44

please try again.

Answer 45

C. E.

Answer 46

please read what I am writing, slowly and carefully.

Answer 47

\(\color{#0cbb34}{\text{Originally Posted by}}\) @Vocaloid
we are looking for numbers ~SMALLER~ than 350
\(\color{#0cbb34}{\text{End of Quote}}\)

Answer 48

please slow down

Answer 49

A. and D.

Answer 50

keep trying.

Answer 51

slow down.

Answer 52

A. and C.

Answer 53

good! A and C are eliminated, so we only need to focus on B, D and E for the next part

Answer 54

\(\color{#0cbb34}{\text{Originally Posted by}}\) @mikewwe13
Each day, Ben wants to consume at least 350 grams of protein and carbohydrates combined. He also wants the amount of carbohydrates he consumes to be no more than 3 times the amount of protein.

Part B

Which combinations allows Ben to consume at least 350 grams of protein and carbohydrates combined while limiting the carbohydrates to no more than 3 times the amount of protein ?

Select all that apply.

A. 70 grams of protein and 270 grams of carbohydrates

B. 75 grams of protein and 275 grams of carbohydrates

C. 80 grams of protein and 260 grams of carbohydrates

D. 90 grams of protein and 270 grams of carbohydrates

E. 100 grams of protein and 290 grams of carbohydrates
\(\color{#0cbb34}{\text{End of Quote}}\)

Answer 55

now, we want the grams of carbohydrates to be less than 3 times the grams of protein

for B, D, and E, calculate: 3 * grams of protein

Answer 56

B. 825

D. 810

E. 870

Answer 57

3 * grams of ~protein~ not carbohydrates please

Answer 58

oh wait i did it wrong

Answer 59

B. 225

D. 240

E. 300

Answer 60

check your numbers again

Answer 61

B has 75 g protein
D has 90 g protein
E has 100 g protein

Answer 62

multiply these by 3

Answer 63

3 x 75 right ?

Answer 64

just check D again, C and E were right

Answer 65

3 X 100 ?

Answer 66

90

Answer 67

good, and 90*3 = ?

Answer 68

270

Answer 69

good

so B = 225g
D = 270g
E = 300g

so we want these numbers to be less than the carbohydrate numbers

Answer 70

*sorry, greater than

Answer 71

now, for B, there are 275g carbs
D = 270g carbs
E = 290 g carbs

let's compare them side by side

Answer 72

B: 225g protein vs 275g carbs

is protein or carbs bigger?

Answer 73

carbs is bigger

Answer 74

good, so B cannot be one of the choices

Answer 75

let's check D

270g protein vs 270g carbs

they're equal, so D works as an answer

lets check E

Answer 76

300g protein vs 270 carbs

is protein or carbs bigger?

Answer 77

protein

Answer 78

good

so D and E are the answers

Answer 79

can we open a new question please

Answer 80

ok