1.) You have $22 in your bank account, and you deposit $11.50 per week. Your cousin has $218 in his bank account and is withdrawing $13 per week. The graph of this problem situation intersects at x=8. What does this mean?
A.
In 8 weeks, you will have triple the amount of money in your account.
B.
In 8 weeks, your cousin will run out of money.
C.
In 8 weeks, both bank accounts will have the same amount of money in them.
D.
In 8 weeks, you will break-even.
2.) The expression 12x + 6 can be used to describe a sequence algebraically. Which of the following could be the first five terms of the sequence when x is a Natural number?
A.
18, 30, 42, 54, 66
B.
6, 12, 18, 24, 30
C.
6, 18, 24, 36, 42
D.
18, 36, 54, 72, 90
3.) Isabella shipped a 5-pound package for $4. She shipped a 3-pound package for $3.60 and a 1-pound package for $3.20. A 10-pound package cost $5 to ship. The shipping cost follows a pattern based on the weight of the package.
Which expression can be used to calculate the shipping cost for a package that weighs p pounds?
A.
3p+2
B.
0.3p+2
C.
2p +3
D.
0.2p +3
4.) Look at the pattern that follows. Which expression represents this pattern algebraically?
8, 17, 26, 35, 44, …
A.
9n-1
B.
n-9
C.
n+9
D.
9n+1
THANKS! :)
It is very obvious that these are test questions. Stop cheating and learn how to do it.
1.) To solve this problem, we can set up equations to represent the situations of both bank accounts. Let's use "x" to represent the number of weeks.
For your bank account:
Initial amount = $22
Deposited amount each week = $11.50
Total amount in your bank account after x weeks = 22 + 11.50x
For your cousin's bank account:
Initial amount = $218
Withdrawn amount each week = $13
Total amount in your cousin's bank account after x weeks = 218 - 13x
To find the point of intersection between the two bank accounts, we need to set the two expressions equal to each other and solve for x:
22 + 11.50x = 218 - 13x
Combining like terms:
24.50x = 196
Dividing both sides by 24.50:
x = 8
The graph of this problem situation intersects at x = 8, which means that in 8 weeks, both bank accounts will have the same amount of money in them. So the correct answer is C. In 8 weeks, both bank accounts will have the same amount of money in them.
2.) The expression given is 12x + 6. To find the first five terms of the sequence when x is a natural number, we can substitute values for x and evaluate the expression.
When x = 1:
12(1) + 6 = 18
When x = 2:
12(2) + 6 = 30
When x = 3:
12(3) + 6 = 42
When x = 4:
12(4) + 6 = 54
When x = 5:
12(5) + 6 = 66
Therefore, the first five terms of the sequence when x is a natural number are 18, 30, 42, 54, 66. So the correct answer is A. 18, 30, 42, 54, 66.
3.) To determine the expression that can be used to calculate the shipping cost for a package that weighs p pounds, we need to analyze the given information.
Let's look for a pattern:
For a 5-pound package, the shipping cost is $4. This suggests that $0.80 is charged per pound.
For a 3-pound package, the shipping cost is $3.60. This suggests a charge of $1.20 per pound.
For a 1-pound package, the shipping cost is $3.20. This also suggests a charge of $3.20 per pound.
For a 10-pound package, the shipping cost is $5. This suggests a charge of $0.50 per pound.
Based on the pattern, the expression that can be used to calculate the shipping cost for a package that weighs p pounds is:
Charge per pound * Weight + Constant cost
In this case, the expression would be:
$0.80 * p + 2
Therefore, the correct answer is A. 3p + 2.
4.) To determine the expression that represents the given pattern algebraically, we need to look for a relationship between the numbers.
By observing the pattern, we can see that each number is obtained by adding 9 to the previous number.
To express this algebraically, we can use the expression:
9n + 8
Where n represents the position of the number in the sequence.
Therefore, the correct answer is D. 9n + 1.
I hope this helps! Let me know if you have any further questions.