Question

6. A diver descends at a rate of 8 m/min. Which expression CANNOT be used to find her depth after 5 minutes?(1 point)
Responses

−85
negative 8 over 5

−8−8−8−8−8
negative 8 minus 8 minus 8 minus 8 minus 8

−8(5)
negative 8 times 5

−8+(−8)+(−8)+(−8)+(−8)

Answer 1

7. In September, a sporting goods store offers a kayak for $378. Over the next four months, the store reduced the price of the kayak $15 each month. What is the price of the kayak at the end of four months?(1 point)
Responses

$318
$318

$363
$363

$438
$438

$228

Answer 2

On a Friday morning, the temperature was 63°F
. The temperature dropped 10°F
and then rose 6°F
. How much does the temperature need to rise or fall to return to the initial temperature of 63°F
?

Desmos Scientific Calculator

(1 point)
Responses

Fall 4 °F
Fall 4 °F

Rise 6 °F
Rise 6 °F

Fall 10 °F
Fall 10 °F

Rise 4 °F
Rise 4 °F
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Answer 3

To find the depth of the diver after 5 minutes, we can calculate her total descent using a rate of 8 meters per minute.

The correct approach would be to multiply the rate (8 m/min) by the time (5 min) and represent it as a negative depth, since the diver is going down.

Let's analyze the options:

1. **−85**
- This is a number but does not represent the depth after 5 minutes of descent (calculation should yield −40).

2. **negative 8 over 5**
- This represents the division of -8 by 5, which does not correctly reflect the situation, since depth should be found through multiplication, not division.

3. **−8−8−8−8−8**
- This is adding up the depths as a repeated subtraction which is valid (it simplifies to -40).

4. **−8(5)**
- This correctly calculates the total depth after 5 minutes by multiplying the rate and time, yielding −40.

5. **−8+(−8)+(−8)+(−8)+(−8)**
- This is also an expression that sums the depths repeatedly and yields -40.

From these options, the expression that CANNOT be used to find her depth after 5 minutes is **−85**.

So the correct answer is: **−85**.

Answer 4

To find the price of the kayak at the end of four months, we need to calculate the total reduction in price over those months and subtract that from the original price.

1. **Original Price**: $378
2. **Monthly Reduction**: $15
3. **Total Reduction Over Four Months**: \( 4 \times 15 = 60 \)

Now, we subtract the total reduction from the original price:

\[
\text{New Price} = 378 - 60 = 318
\]

Therefore, the price of the kayak at the end of four months is **$318**.

The correct response is: **$318**.

Answer 5

Let's break down the temperature changes step by step:

1. **Initial Temperature**: 63°F
2. **Temperature Drop**: 10°F

\( 63°F - 10°F = 53°F \)

3. **Temperature Rise**: 6°F

\( 53°F + 6°F = 59°F \)

Now, we need to determine how much the temperature needs to rise or fall to return to the initial temperature of 63°F.

**Current Temperature**: 59°F

To find how much it needs to rise:

\[
63°F - 59°F = 4°F
\]

Thus, the temperature needs to **rise** 4°F to return to the initial temperature of 63°F.

The correct response is: **Rise 4 °F**.