.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.

Answer 1

To analyze the equation \(20h + 40 = 480\):

• \(20h\) represents the payments based on the number of hours \(h\) Stacey worked, where she is paid $20 for each hour (denoted by \(h\)).
• The \(40\) in the equation represents a fixed amount that Stacey earns, likely a bonus.
• The \(480\) on the right side of the equation represents her total earnings.

Rearranging the equation gives us the following interpretation:

1. Stacey receives $40 as a bonus.
2. She earns $20 for each hour \(h\) she worked.
3. The total earnings amount to $480.

Thus, the situation best represented by the equation is:

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

Therefore, the correct response is the third option:

Stacey was paid $480 last week. She was paid a $20 bonus and $40 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.
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.
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Answer 3

To analyze the equation \(2000 - 200x = 1000\):

• \(2000\) represents the initial amount of money Jenny started with.
• \(200x\) represents the amount of money Jenny spent after \(x\) days, with $200 being the amount spent each day.
• \(1000\) is the amount of money Jenny has left after spending for \(x\) days.

Rearranging the equation can help clarify the situation:

1. Jenny starts with $2000.
2. She spends $200 each day for \(x\) days.
3. After some days, she has $1000 left.

From this, we can conclude that the equation represents:

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.

Therefore, the correct response is the first option:

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 find the cost of each additional hour of parking, we can break down Jillian's parking fee as follows:

1. Base Rate for the First 2 Hours: $3

2. Total Hours Parked: 6 hours

   • This means she parked for \(6 - 2 = 4\) additional hours.

3. Total Cost of Parking: $31

   • The cost for the additional hours can therefore be calculated as: \[ \text{Cost for Additional Hours} = \text{Total Cost} - \text{Base Rate} = 31 - 3 = 28 \]

4. Cost Per Additional Hour:

   • Since there are 4 additional hours, we can divide the total cost for those hours by the number of additional hours: \[ \text{Cost Per Additional Hour} = \frac{\text{Cost for Additional Hours}}{\text{Number of Additional Hours}} = \frac{28}{4} = 7 \]

Thus, the cost of 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

Let's set up the equation based on the information provided:

1. Let \(L\) represent the number of seashells Lucy has.

2. According to the problem, Daisy has 6 more than three times as many seashells as Lucy. This can be expressed as: \[ D = 3L + 6 \] where \(D\) is the number of seashells Daisy has.

3. We know that Daisy has 36 seashells, so we can substitute that into the equation: \[ 36 = 3L + 6 \]

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

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

   • Divide both sides by 3: \[ L = \frac{30}{3} = 10 \]

Therefore, Lucy has 10 seashells.

The correct response is:

10

Answer 8

Three hundred students went on a field trip to the zoo. Six buses were filled and 12 students rode in cars. How many students were on each bus?(1 point)
Responses

48
48

52
52

62
62

288

Answer 9

To find out how many students were on each bus, we can follow these steps:

1. Total students: 300
2. Students who rode in cars: 12

First, we need to find the number of students that rode on the buses: \[ \text{Students on buses} = \text{Total students} - \text{Students in cars} = 300 - 12 = 288 \]

Next, we know that there are 6 buses. To find how many students were on each bus, we can divide the number of students on the buses by the number of buses: \[ \text{Students per bus} = \frac{\text{Students on buses}}{\text{Number of buses}} = \frac{288}{6} = 48 \]

Therefore, there were 48 students on each bus.

The correct response is:

48

Answer 10

Clara wants to bike 112 miles this week. That is 20 miles less than 2 times the number of miles she biked last week. How many miles did she bike last week?(1 point)
Responses

46 miles
46 miles

132 miles
132 miles

264 miles
264 miles

66 miles

Answer 11

To find out how many miles Clara biked last week, we can set up the equation based on the information provided:

1. Let \(x\) represent the number of miles Clara biked last week.
2. According to the problem, 2 times the number of miles she biked last week minus 20 miles equals 112 miles: \[ 2x - 20 = 112 \]

Next, we can solve for \(x\):

1. Add 20 to both sides of the equation: \[ 2x - 20 + 20 = 112 + 20 \] \[ 2x = 132 \]

2. Divide both sides by 2 to isolate \(x\): \[ x = \frac{132}{2} = 66 \]

Thus, Clara biked 66 miles last week.

The correct response is:

66 miles