The solution is Option A.
x = { 8 , 16 , 24 , 32 }
y = { 24 , 48 , 72 , 96 }
The table shows a proportional relationship as y = 3x
What is Proportion?
The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
Given data ,
Let the values in the set x be Set A = { 8 , 16 , 24 , 32 }
Let the values in the set y be Set B = { 24 , 48 , 72 , 96 }
Now , the relationship between the first element of set A and the first element of set B is y = ab
where a is the constant of proportionality
Now , substituting the values of x and y , we get
24 = 8a
Divide by 8 on both sides of the equation , we get
a = 3
Therefore , the proportional relationship between x and y is y = 3x
24 = 3 x 8
48 = 3 x 16
72 = 3 x 24
96 = 3 x 32
Hence , The table shows a proportional relationship as y = 3x
To learn more about proportion click :
#SPJ5
b. Borrow the money for the down payment and pay it back later
c. Adjust her budget to save more each month
d. Take on a part-time job to earn extra income
Answer:
b. Borrow the money for the down payment and pay it back later
Step-by-step explanation:
Yvonne has a goal of buying a brand new home within a year.
She's afraid that she will be unable to save the money that she needs for a down payment.
The following should not be part of Yvonne's plan for achieving her goal of buying a home-
b. Borrow the money for the down payment and pay it back later
She can delay buying the house for a few months so she can save more money. She can also adjust her budget to save more. Also she can take a few other jobs to earn more and save more.
The only thing she should not consider is borrowing money.
In this way she will have to pay double debts. One to the lender and the other to the bank for home loan. Borrowing money will create more difficulties for her, so she should not so that.
a) your iterative rule would be: 22,28,34,40....... it is because there are 22 in first row and it is increasing by 6 at each step....
b) Now, a(n) = 100, a=22, d=28-22 = 6
we know, a(n) = a+(n-1)d
100 = 22+(n-1)6
100-22 = 6n-6
78+6 = 6n
n = 84/6
n= 14
Answer:
h=9cm
P=(x+5)cm
b=(x-3)cm
by the Pythagoras theorem,
h^2=p^2+b^2
9^2=(x+5)^2+(x-3)^2
81=x^2+10x+25+x^2-6x+9
81=2x^2+4x+34