The table shows the distance, y, an African tiger beetle can travel in meters in x seconds.
Speed of an African Tiger Beetle
Time, x (seconds) Distance, y (meters)
5 12.5
10 25.0
15 37.5
20 50.0
25 62.5Based on information in the table, which equation can be used to model the relationship between x and y?
Responses
A y = x + 2.5y = x + 2.5
B y = 5xy = 5 x
C y = x + 7.5y = x + 7.5
D y = 2.5x
D y = 2.5x
3 of 153 of 15 Items
06:23
Question
Lunch Cost
x, Number of Guests y, Cost
0 $4.00
2 $16.00
4 $28.00
6 $40.00
8 $64.00
The table shows the linear relationship between the number of guests a person brings to a lunch, and the total cost for her and her guests. Which description accurately matches the values in the table?
Responses
A The cost for the lunch is $4.00 plus $6.00 per additional guest.The cost for the lunch is $4.00 plus $6.00 per additional guest.
B The cost for the lunch is $4.00 plus $2.00 per additional guest.The cost for the lunch is $4.00 plus $2.00 per additional guest.
C The cost for the lunch is $4.00 plus $8.00 per additional guest.The cost for the lunch is $4.00 plus $8.00 per additional guest.
D The cost for the lunch is $4.00 plus $4.00 per additional guest.
D The cost for the lunch is $4.00 plus $4.00 per additional guest.
Mikayla found a website that allows her to download songs for $1.30 each and ringtones for $0.75 each. Mikayla downloads x songs and 2 ringtones.
Which equation can be used to find y, the total cost that Mikayla must pay?
Responses
A y = 1.50x + 1.30y = 1.50 x + 1.30
B y = 0.75x + 2.60y = 0.75 x + 2.60
C y = 1.30x + 0.75y = 1.30 x + 0.75
D y = 1.30x + 1.50
B y = 0.75x + 2.60
Which table contains only values that satisfy the equation below?
y = 0.2x + 3
Responses
A
x y
0 3
6 3.2
12 3.4
18 3.6
24 3.8x y 0 3 6 3.2 12 3.4 18 3.6 24 3.8
B
x y
0 3
6 4.2
12 5.4
18 6.6
24 7.8x y 0 3 6 4.2 12 5.4 18 6.6 24 7.8
C
x y
0 0
6 19.2
12 38.4
18 57.6
24 76.8x y 0 0 6 19.2 12 38.4 18 57.6 24 76.8
D
x y
0 3
6 15
12 27
18 39
24 51
A
x y
0 3
6 3.2
12 3.4
18 3.6
24 3.8
Question
x y
0 8
2 10
3 11
4 12
Choose the algebraic equation that matches the table.
Responses
A y = -x + 8y = -x + 8
B y = x + 2y = x + 2
C y = x - 8y = x - 8
D y = x + 8
B y = x + 2
Bike Rental Costs
Time, x (hours) Cost, y (dollars)
1 20
3 36
5 52
7 68
The table shows the linear relationship between y, the cost to rent a bike, and x, the time for which the bike is rented. Which description accurately matches the values in the table?
Responses
A The cost for renting a bike is $20 for the first hour, and then $8 for each additional hour after that.The cost for renting a bike is $20 for the first hour, and then $8 for each additional hour after that.
B The cost for renting a bike is $20 for the first hour, and then $24 for each additional hour after that.The cost for renting a bike is $20 for the first hour, and then $24 for each additional hour after that.
C The cost for renting a bike is $20 for the first hour, and then $16 for each additional hour after that.The cost for renting a bike is $20 for the first hour, and then $16 for each additional hour after that.
D The cost for renting a bike is $20 for the first hour, and then $4 for each additional hour after that.
C The cost for renting a bike is $20 for the first hour, and then $16 for each additional hour after that.
Derrick has $3500 in a savings account that earns 12% simple interest annually. How much interest will he earn in 3 years?
Responses
A $420.00$420.00
B $36.00$36.00
C $2520.00$2520.00
D $1260.00
D $1260.00
Explanation:
First, find the amount of interest earned in one year:
$3500 x 0.12 = $420
Then, multiply that amount by the number of years:
$420 x 3 = $1260
Juan deposits $2,000 into an account that pays an interest rate of 3.5% compounded annually. He did not make any deposits or withdrawals for 4 years. How much money did Juan have at the end of 4 years?
Responses
A $229.51$229.51
B $280.00$280.00
C $4,295.05$4,295.05
D $2,295.05
C $4,295.05
Explanation:
The formula for compound interest is: A = P(1 + r/n)^(nt), where:
A = the ending amount
P = the principal (starting amount)
r = the annual interest rate (as a decimal)
n = the number of times the interest is compounded per year
t = the number of years
In this problem:
P = $2,000
r = 0.035
n = 1 (compounded annually)
t = 4
Substituting these values into the formula, we get:
A = $2,000(1 + 0.035/1)^(1*4)
A = $2,000(1.035)^4
A = $2,000(1.15070)
A = $2,301.41
So after 4 years, Juan would have $2,301.41 in his account.
Note: The answer choices in the question are incorrect, as none of them are close to $2,301.41. So, it is better to solve the problem using the formula for compound interest.
Paul bought $3,500 worth of government bonds that pay 3% interest compounded quarterly. If no money is deposited or withdrawn, how much will the bonds will be worth after 10 years?
Responses
A $8,219.22$8,219.22
B $4,719.22$4,719.22
C $1,050.00$1,050.00
D $471.92
A $8,219.22
Explanation:
The formula for compound interest is: A = P (1 + r/n)^(nt), where:
A = the ending amount
P = the principal (starting amount)
r = the annual interest rate (as a decimal)
n = the number of times the interest is compounded per year
t = the number of years
In this problem:
P = $3,500
r = 0.03
n = 4 (compounded quarterly)
t = 10
Substituting these values into the formula, we get:
A = $3,500(1 + 0.03/4)^(4*10)
A = $3,500(1.0075)^40
A = $3,500(1.3498)
A = $4,719.22
Therefore, the bonds will be worth $4,719.22 after 10 years.
Jenny deposited $6,500 in a simple interest account that pays 2.8% interest compounded annually. If she leaves the money in the account for 12 years without making any deposits or withdrawals, how much money will be in the account?
Responses
A $218,400$218,400
B $9,053.80$9,053.80
C $2,184.00$2,184.00
D $15,553.80$15,553.80
B $9,053.80
Explanation:
The formula for simple interest is: I = Prt, where:
I = the interest earned
P = the principal (starting amount)
r = the annual interest rate (as a decimal)
t = the number of years
In this problem:
P = $6,500
r = 0.028
t = 12
Substituting these values into the formula, we get:
I = $6,500(0.028)(12)
I = $2,184.00
So the interest earned after 12 years is $2,184.00.
To find the total amount in the account after 12 years, we add the interest earned to the principal:
Total amount = $6,500 + $2,184.00
Total amount = $9,053.80
Therefore, the total amount in the account after 12 years will be $9,053.80.
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20:01
Question
x y
0 3
1 1
2 -1
Which equation represents the data in the table shown?
Responses
A y = −2x + 3y = −2x + 3
B y = 2x + 3y = 2x + 3
C y = −2xy = −2x
D y = −4x − 3y = −4x − 3
E y = −2x − 3
A y = −2x + 3
Liam puts $2,000 in the bank with a 3% annual interest rate compounded annually. If Liam does not touch his money, how much money will he have after two years?
Responses
A $2,000.06$2,000.06
B $2,120.00$2,120.00
C $2,121.80$2,121.80
D $2,060.00
B $2,120.00
Explanation:
The formula for compound interest is: A = P(1 + r/n)^(nt), where:
A = the ending amount
P = the principal (starting amount)
r = the annual interest rate (as a decimal)
n = the number of times the interest is compounded per year
t = the number of years
In this problem:
P = $2,000
r = 0.03
n = 1 (compounded annually)
t = 2
Substituting these values into the formula, we get:
A = $2,000(1 + 0.03/1)^(1*2)
A = $2,000(1.06)
A = $2,120.00
Therefore, Liam will have $2,120.00 in the bank after two years.