Mateo rented a bike for $37. It costs $4 per hour, h, with an automatic charge of $13 to rent the bike.

Question

Which equation can be used to find out the number of hours, h, Mateo rented the bike?

(1 point)
Responses

4h−13=37
4 h minus 13 is equal to 37

4h+37=13
4 h plus 37 is equal to 13

4h−37=13
4 h minus 37 is equal to 13

4h+13=37

Answer 1

The equation that can be used to find out the number of hours, \( h \), Mateo rented the bike is:

4h + 13 = 37

This equation reflects the cost of renting the bike, where \( 4h \) is the variable cost based on the number of hours rented and $13 is the fixed rental charge. The total cost is $37.

Answer 2

Key is the youngest of 5 siblings. Starting with the oldest sibling, each sibling was born 2 years apart. Together, the siblings are 70 years old.

Which equation can be used to determine the age, a, of Key?

(1 point)
Responses

20a+5=70
20 A plus 5 is equal to 70

5a+70=20
5 A plus 70 is equal to 20

5a−20=70
5 A minus 20 is equal to 70

5a+20=70
5 A plus 20 is equal to 70
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Answer 3

To determine the age \( a \) of Key, we can first understand that if Key is the youngest of 5 siblings and each sibling is born 2 years apart, the ages of the siblings can be expressed in terms of Key's age.

Let's denote the ages of the siblings as follows:

• Key (youngest): \( a \)
• Second sibling: \( a + 2 \)
• Third sibling: \( a + 4 \)
• Fourth sibling: \( a + 6 \)
• Oldest sibling: \( a + 8 \)

Now, we can add their ages together:

\[ a + (a + 2) + (a + 4) + (a + 6) + (a + 8) = 70 \]

Simplifying this, we get:

\[ 5a + 20 = 70 \]

So, the correct equation that can be used to determine Key's age \( a \) is:

5a + 20 = 70

Answer 4

The water level of a creek has risen 4.75 inches above its flood stage. It continues to rise at 2.5 inches per hour.

At this rate, how long will it take for the creek to be 12 inches above its flood stage?

(1 point)
Responses

4.75 hours
4.75 hours

6.7 hours
6.7 hours

2.9 hours
2.9 hours

3.1 hours

Answer 5

To find out how long it will take for the creek to reach 12 inches above its flood stage, we first need to determine how many more inches it needs to rise from its current level.

The creek is currently 4.75 inches above flood stage and needs to reach 12 inches above flood stage:

\[ 12 \text{ inches} - 4.75 \text{ inches} = 7.25 \text{ inches} \]

Next, we know that the creek rises at a rate of 2.5 inches per hour. We can calculate the time \( t \) it will take to rise the additional 7.25 inches using the following formula:

\[ t = \frac{\text{additional rise}}{\text{rate of rise}} = \frac{7.25 \text{ inches}}{2.5 \text{ inches per hour}} \]

Now, performing the calculation:

\[ t = \frac{7.25}{2.5} = 2.9 \text{ hours} \]

Thus, it will take 2.9 hours for the creek to be 12 inches above its flood stage.