My son, Garrett, is 11 years old and has a piggy bank that he wants to fill. He started with 5 one dollar bills. Every Saturday he earns 3 more dollar bills for chores he’s completed. How many one dollar bills will he have by the end of 10 weeks?1. Write a function model, M(x), that represents the total number of one dollar bills garret will have in one dollar bills, x
2. Identify the independent and dependent quantity.
3. The domain and range are represented as discrete or continuous?
4.What is a reasonable domain and range for this scenario?
Thanks for the help!
Answers
Answer:
1) M(x) = 5 + 3x
2) Dependent variable; 3 dollar bills
Independent variable: chores
3) Range is continuous
Domain is discrete
4) Range: 0 ≤ x ≤ 10
Domain: 5 ≤ M ≤ 35
Step-by-step explanation:
We are told he started with 5 number of $1 dollar bills and that every Saturday, he earns 3 more $1 dollar bill.
Thus, total number of $1 bills earned after x number of Saturdays(weekly) is;
M(x) = 5 + 3x
After 10 weeks, total number is;
M(10) = 5 + 3(10)
M(10) = 35
The dependent variable is the 3 more dollar bills earned each Saturday because it depends on chores he completed. While the independent variable is the chores because it doesn't depend on anything.
After 10 weeks, the range and domain will be;
Range: 0 ≤ x ≤ 10
For the; Domain:
For x = 1, M(0) = 5 + 3(0) = 5
M(10) = 35
Thus;
Domain: 5 ≤ M ≤ 35
The range could be all numbers in the interval from 0 to 10. Thus, it is continuous.
Whereas, the domain doesn't contain all the numbers in the interval from 5 to 35. Thus it is Discrete.
Related Questions
Evaluate the given expression for x=9 7x+3
If 90% of the answers were correct then what percent were incorrect what percent were incorrect
Vertex of y=-2(x-3)^2+2
Discriminant of 9x^2+12x+4=0
Which statement is true about the graph?
A) A late arrival who is 21 years old with a back-stage pass will make the mean greater than the median.
B) The two holders of back-stage passes whose ages are above 40 make the mean age higher than the median age.
C) The ages of concert-goers with backstage passes are skewed left, so the mean age is less than the median age.
D) A concert-goer who is 18 years old and wins a back-stage pass will pull the mean more than 2 years less than the median.
Answers
The two holders of back-stage passes whose ages are above 40 making the mean age higher than the median age is correct about the graph.
What is a Graph?
This can be defined as pictorial representation of data or values in an organized manner.
From the graph we can calculate mean.
Mean = [13.5(3) + 16.5(6) + 19.5(8) + 22.5(6) + 25.5(5) + 28.5(4) + 31.5(3) + 43.5 + 46.5] / (3 + 6 + 8 + 6 + 5 + 4 + 3 + 1 + 1)
= 856.5 / 37
= 23.15
Median = (37 + 1) / 2 = 38 / 2 = 19th position between 21 - 24 age interval. Median = L1 + C[n/2 - summation (Fl)] / Fm
where L1 = lower class boundary of the median class, C = class size, n = total frequency, summation (Fl) = summation of all frequencies below median class, Fm= median class frequency.
Median = 21 + 4[37/2 - (3 + 6 + 8)] / 6
= 21 + 4[18.5 - 17] / 6
= 21 + 4(1.5) / 6
= 21 + 6 / 6 = 21 + 1 = 22.
Mean of 23.15 is greater than the median of 22.
Mean without two numbers above 40
= (856.5 - 43.5 - 46.5) / 35 = 766.5 / 35 = 21.9.
Therefore the two holders of back-stage passes whose ages are above 40 make the mean age higher than the median age which makes option B the most appropriate choice
Read more about Graph here brainly.com/question/25184007
B. 6x-5=7
C. 18+9/x=-9
D. 12x+8=4
Answers
A. 7+9(-1/3)=4
B. 6(-1/3)-5= (-7)
C. 18+9/(-1/3)= (-9)
D. 12(-1/3)+8=4
Hope this helps
A. 0
B. 1
C. 9
D. 6
Answers
you have to combine like terms
so subtract 3 from each side and then you are left with b=0
you have to combine like terms
so subtract 3 from each side and then you are left with b=0
Answers
Answer:
420 miles
Step-by-step explanation:
Distance traveled per hour = 55 miles
Distance traveled in 6 hours = 55 * 6 = 330 miles
Distance of the trip = 330 + 90 = 420 miles
Answers
Because if an x has more than one image, you couldn't tell what is the value of the image given that x.
Answers
"Classify the polynomial by the number of terms" means a term contains both the variables and its coefficient. For example a "monomial" has one term like .
A binomial has 2 terms like
A trinomial has 3 terms like
And a polynomial has 4 or more terms.
So basically one can classify the type of polynomial by counting the number of terms in a given equation.