Which situation is best represented by the following equation?

Question

20h+40=480

(1 point)
Responses

Stacey was paid $40 last week. She was paid a $20 bonus and $480 for each hour she worked.
Stacey was paid $40 last week. She was paid a $20 bonus and $480 for each hour she worked.

Stacey was paid $480 last week. She was paid a $40 bonus and $20 for each hour she worked.
Stacey was paid $480 last week. She was paid a $40 bonus and $20 for each hour she worked.

Stacey was paid $480 last week. She was paid a $20 bonus and $40 for each hour she worked.
Stacey was paid $480 last week. She was paid a $20 bonus and $40 for each hour she worked.

Stacey was paid $40 last week. She was paid a $480 bonus and $20 for each hour she worked.
Stacey was paid $40 last week. She was paid a $480 bonus and $20 for each hour she worked.

Answer 1

To solve for the situation best represented by the equation \(20h + 40 = 480\), we can break it down:

• The term \(20h\) suggests that Stacey earns $20 for each hour worked, where \(h\) is the number of hours.
• The constant \(40\) indicates that she received a $40 bonus.
• The total amount she received is $480.

From this, we can interpret the equation as follows:

• The total earnings ($480) is the sum of her earnings from working hours ($20h$) and her bonus ($40).

Now, let's analyze the options:

1. Stacey was paid $40 last week. She was paid a $20 bonus and $480 for each hour she worked.

   • Incorrect: The $480 is a total, not an hourly wage.

2. Stacey was paid $480 last week. She was paid a $40 bonus and $20 for each hour she worked.

   • Correct: This matches our equation where the bonus is $40 and the hourly wage is $20.

3. Stacey was paid $480 last week. She was paid a $20 bonus and $40 for each hour she worked.

   • Incorrect: The bonus described here is not aligned with the equation.

4. Stacey was paid $40 last week. She was paid a $480 bonus and $20 for each hour she worked.

   • Incorrect: This too misrepresents the assignment of values in the equation.

Thus, the best situation represented by the equation \(20h + 40 = 480\) is:

Stacey was paid $480 last week. She was paid a $40 bonus and $20 for each hour she worked.

Answer 2

Which situation is best represented by the following equation?

2000−200x=1000


(1 point)
Responses

Jenny went on vacation. She started with $2000 and spent $200 each day. Solve for x to find the number of days Jenny has been on vacation if she has $1000 left to spend.
Jenny went on vacation. She started with $2000 and spent $200 each day. Solve for x to find the number of days Jenny has been on vacation if she has $1000 left to spend.

Jenny went on vacation. She started with $2000 and spent $200 each day. Solve for x to find out how much money Jenny has left to spend.
Jenny went on vacation. She started with $2000 and spent $200 each day. Solve for x to find out how much money Jenny has left to spend.

Jenny went on vacation. She spent $200 each day. Solve for x to find the number of days Jenny has been on vacation if she has $1000 left to spend.
Jenny went on vacation. She spent $200 each day. Solve for x to find the number of days Jenny has been on vacation if she has $1000 left to spend.

Jenny went on vacation. She started with $1000 and spent $250 each day. Solve for x to find the number of days Jenny has been on vacation if she has $2000 left to spend.

Answer 3

To understand what situation is best represented by the equation \(2000 - 200x = 1000\), let's break it down:

• The starting amount is $2000.
• Jenny spends $200 each day, represented by the term \(200x\), where \(x\) is the number of days she has spent.
• The equation states that after spending for a certain number of days, she has $1000 left.

From this understanding, we can interpret that the left side of the equation represents the total money remaining after Jenny has spent money each day, which equals $1000.

Now, let's analyze the options given:

1. Jenny went on vacation. She started with $2000 and spent $200 each day. Solve for x to find the number of days Jenny has been on vacation if she has $1000 left to spend.

   • Correct: This accurately describes the equation and situation.

2. Jenny went on vacation. She started with $2000 and spent $200 each day. Solve for x to find out how much money Jenny has left to spend.

   • Incorrect: This does not specify a remaining amount ($1000) appropriately.

3. Jenny went on vacation. She spent $200 each day. Solve for x to find the number of days Jenny has been on vacation if she has $1000 left to spend.

   • Partially correct, but it lacks the detail about her initial amount of $2000.

4. Jenny went on vacation. She started with $1000 and spent $250 each day. Solve for x to find the number of days Jenny has been on vacation if she has $2000 left to spend.

   • Incorrect: This contradicts the initial amount and the daily spending rate.

Thus, the best situation represented by the equation \(2000 - 200x = 1000\) is:

Jenny went on vacation. She started with $2000 and spent $200 each day. Solve for x to find the number of days Jenny has been on vacation if she has $1000 left to spend.

Answer 4

Jillian spent $31 to park for 6 hours. The parking garage charges a base rate of $3 for the first two 2 hours, and then an hourly rate for each additional hour. How much does each additional hour of parking cost?(1 point)
Responses

$8.50
$8.50

$5.17
$5.17

$4.67
$4.67

$7.00

Answer 5

To determine how much each additional hour of parking costs, we can break down Jillian's total parking fee.

1. Base Rate for the First 2 Hours:

   • The parking garage charges a base rate of $3 for the first 2 hours.

2. Total Time Parked:

   • Jillian parked for a total of 6 hours.

3. Additional Hours:

   • The number of additional hours is \(6 - 2 = 4\) hours.

4. Total Cost:

   • The total amount Jillian spent is $31.

5. Cost for Additional Hours:

   • First, we need to find out how much she paid for the additional hours: \[ \text{Cost for additional hours} = \text{Total Cost} - \text{Base Rate} = 31 - 3 = 28. \]

6. Cost per Additional Hour:

   • Now, we divide the cost for the additional hours by the number of additional hours: \[ \text{Cost per additional hour} = \frac{28}{4} = 7. \]

Thus, the cost for each additional hour of parking is $7.00.

The correct response is:

$7.00.

Answer 6

Daisy has 6 more than three times as many seashells as Lucy. Daisy has 36 seashells. How many does Lucy have?(1 point)
Responses

14
14

90
90

10
10

126

Answer 7

To find out how many seashells Lucy has, let's set up the equation based on the information given:

1. Let \( L \) be the number of seashells Lucy has.
2. Daisy has 6 more than three times the number of seashells Lucy has.

This can be expressed as: \[ D = 3L + 6 \] where \( D \) is the number of seashells Daisy has. We know from the problem that Daisy has 36 seashells: \[ 36 = 3L + 6 \]

Now, we can solve for \( L \):

1. Subtract 6 from both sides: \[ 36 - 6 = 3L \] \[ 30 = 3L \]

2. Now, divide both sides by 3: \[ L = \frac{30}{3} = 10 \]

So, Lucy has 10 seashells.

The correct response is:

10.

Answer 8

Solve for c.

2/5c+5=95


(1 point)
Responses

225
225

36
36

250
250

40

Answer 9

To solve the equation \( \frac{2}{5}c + 5 = 95 \) for \( c \), follow these steps:

1. Subtract 5 from both sides: \[ \frac{2}{5}c + 5 - 5 = 95 - 5 \] This simplifies to: \[ \frac{2}{5}c = 90 \]

2. Multiply both sides by \( \frac{5}{2} \) to isolate \( c \): \[ c = 90 \cdot \frac{5}{2} \]

3. Calculate the right side: \[ c = 90 \cdot \frac{5}{2} = \frac{450}{2} = 225 \]

Thus, the solution for \( c \) is 225.

The correct response is:

225.

Answer 10

What value for n makes this equation true?

13−2n=−109


(1 point)
Responses

-61
-61

-48
-48

48
48

61
61

Answer 11

To solve the equation \( 13 - 2n = -109 \) for \( n \), follow these steps:

1. Subtract 13 from both sides: \[ 13 - 2n - 13 = -109 - 13 \] This simplifies to: \[ -2n = -122 \]

2. Divide both sides by -2: \[ n = \frac{-122}{-2} = 61 \]

Thus, the value for \( n \) that makes the equation true is 61.

The correct response is:

61.