mikewwe13:

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.

11 months ago
Ultrilliam:

@Sam

11 months ago
Vocaloid:

@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

11 months ago
Vocaloid:

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

11 months ago
mikewwe13:

100(12n + 35)

11 months ago
Vocaloid:

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.

11 months ago
mikewwe13:

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

11 months ago
Vocaloid:

just ignore the f(n) part for now

11 months ago
Vocaloid:

1200*n + 3500 = ?

11 months ago
mikewwe13:

what about the x with n ?

11 months ago
Vocaloid:

there is no x here

11 months ago
Vocaloid:

write this down 1200*n + 3500 = ? replace "n" with 3 then figure out what the expression is equal to

11 months ago
Vocaloid:

* means multiply

11 months ago
mikewwe13:

7100

11 months ago
mikewwe13:

7,100

11 months ago
Vocaloid:

good so that's your answer for part 1

11 months ago
mikewwe13:

7,100

11 months ago
Vocaloid:

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.

11 months ago
Vocaloid:

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%

11 months ago
Vocaloid:

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

11 months ago
mikewwe13:

2006

11 months ago
Vocaloid:

add, don't subtract

11 months ago
Vocaloid:

2011 + 5 = ?

11 months ago
mikewwe13:

2016

11 months ago
mikewwe13:

i meant that at first

11 months ago
Vocaloid:

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

11 months ago
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

11 months ago
Vocaloid:

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

11 months ago
mikewwe13:

340

11 months ago
Vocaloid:

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

11 months ago
mikewwe13:

B. 350 C. 340 D. 360 E. 390

11 months ago
Vocaloid:

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?

11 months ago
mikewwe13:

60

11 months ago
Vocaloid:

which letter, please?

11 months ago
Vocaloid:

A. 340 B. 350 C. 340 D. 360 E. 390 which two letters have a number less than 350?

11 months ago
mikewwe13:

C.

11 months ago
Vocaloid:

there's one more, which one?

11 months ago
mikewwe13:

B.

11 months ago
Vocaloid:

350 is not less than 350, so not B

11 months ago
Vocaloid:

which letters have a number LESS than 350?

11 months ago
mikewwe13:

D.

11 months ago
Vocaloid:

\(\color{#0cbb34}{\text{Originally Posted by}}\) @Vocaloid A. 340 B. 350 C. 340 D. 360 E. 390 which two letters have a number less than 350? \(\color{#0cbb34}{\text{End of Quote}}\)

11 months ago
Vocaloid:

we are looking for numbers ~SMALLER~ than 350

11 months ago
mikewwe13:

C. D.

11 months ago
Vocaloid:

please try again.

11 months ago
mikewwe13:

C. E.

11 months ago
Vocaloid:

please read what I am writing, slowly and carefully.

11 months ago
Vocaloid:

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

11 months ago
Vocaloid:

please slow down

11 months ago
mikewwe13:

A. and D.

11 months ago
Vocaloid:

keep trying.

11 months ago
Vocaloid:

slow down.

11 months ago
mikewwe13:

A. and C.

11 months ago
Vocaloid:

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

11 months ago
Vocaloid:

\(\color{#0cbb34}{\text{Originally Posted by}}\) @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 \(\color{#0cbb34}{\text{End of Quote}}\)

11 months ago
Vocaloid:

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

11 months ago
mikewwe13:

B. 825 D. 810 E. 870

11 months ago
Vocaloid:

3 * grams of ~protein~ not carbohydrates please

11 months ago
mikewwe13:

oh wait i did it wrong

11 months ago
mikewwe13:

B. 225 D. 240 E. 300

11 months ago
Vocaloid:

check your numbers again

11 months ago
Vocaloid:

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

11 months ago
Vocaloid:

multiply these by 3

11 months ago
mikewwe13:

3 x 75 right ?

11 months ago
Vocaloid:

just check D again, C and E were right

11 months ago
mikewwe13:

3 X 100 ?

11 months ago
mikewwe13:

90

11 months ago
Vocaloid:

good, and 90*3 = ?

11 months ago
mikewwe13:

270

11 months ago
Vocaloid:

good so B = 225g D = 270g E = 300g so we want these numbers to be less than the carbohydrate numbers

11 months ago
Vocaloid:

*sorry, greater than

11 months ago
Vocaloid:

now, for B, there are 275g carbs D = 270g carbs E = 290 g carbs let's compare them side by side

11 months ago
Vocaloid:

B: 225g protein vs 275g carbs is protein or carbs bigger?

11 months ago
mikewwe13:

carbs is bigger

11 months ago
Vocaloid:

good, so B cannot be one of the choices

11 months ago
Vocaloid:

let's check D 270g protein vs 270g carbs they're equal, so D works as an answer lets check E

11 months ago
Vocaloid:

300g protein vs 270 carbs is protein or carbs bigger?

11 months ago
mikewwe13:

protein

11 months ago
Vocaloid:

good so D and E are the answers

11 months ago
Vocaloid:

can we open a new question please

11 months ago
mikewwe13:

ok

11 months ago
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