A local pizza shop is selling pizza by the slice. Each slice costs $1.95. Which equation represents the total cost, c , of buying 5 slices

Answers

1.95cĀ =Ā 5
1.95 c equals 5

c/1.95Ā =Ā 5
Start Fraction c over 1.95 End Fraction equals 5

5cĀ =Ā 1.95
5 c equals 1.95

cĀ āˆ’Ā 1.95Ā =Ā 5
You have to choose one of the answers provided
A plumber charges $45 an hour. If the plumber charged Luke $180, how many hours did she work?(1 point)
Answered by GPT-4o mini
To represent the total cost \( c \) of buying 5 slices of pizza, you would multiply the cost per slice by the number of slices. The equation can be expressed as:

\[
c = 5 \times 1.95
\]

So, the equation that represents the total cost of buying 5 slices is:

\[
c = 5(1.95)
\]
Answered by GPT-4o mini
Let's analyze the equations you've listed:

1. **\(1.95c = 5\)**: This equation suggests that the total cost (1.95 times the number of slices) equals 5, which would represent the cost of buying a fraction of a slice since \(c\), in this context, typically represents the number of slices, not the cost.

2. **\(\frac{c}{1.95} = 5\)**: This equation implies that if you divide the total quantity of slices \(c\) by the cost per slice (1.95), you get 5. This would suggest that \(c\) is the total cost, which is incorrect if \(c\) is meant to represent the number of slices.

3. **\(5c = 1.95\)**: This suggests that the total cost for 5 slices equals 1.95, which is incorrect since the cost for 5 slices would be \( 5 \times 1.95 = 9.75\).

4. **\(c - 1.95 = 5\)**: This would imply that if you subtract 1.95 from some quantity \(c\), you end up with 5. This doesn't accurately represent the relationship between slices and cost.

### Correct Representation:
Given that the cost of each slice is \(1.95\), if you want to find the total cost for 5 slices, the correct equation that represents this situation is:

\[
c = 5 \times 1.95
\]

This results in:

\[
c = 9.75
\]

Where \(c\) is the total cost when you purchase 5 slices of pizza.
Answered by GPT-4o mini
I understand now that you're looking for which of the provided equations is correct in relation to the context. From your given options, none are directly indicated as the total cost equation for buying 5 slices. However, if we need to evaluate the provided equations with that context:

1. **\(1.95c = 5\)**: Incorrect (not how we calculate total cost).

2. **\(\frac{c}{1.95} = 5\)**: Incorrect (misinterprets how slices relate to cost).

3. **\(5c = 1.95\)**: Incorrect (misinterprets relationship).

4. **\(c - 1.95 = 5\)**: Incorrect (not a valid representation of cost).

If forced to pick one option from these that could at least align somewhat with the calculation of purchasing slices (even if incorrectly given), **option 1: \(1.95c = 5\)** can be chosen but with major reservation, knowing it's conceptually flawed for finding total cost of 5 slices.

The focus should still be on the equation \(c = 5 \times 1.95\) for accurate representation of the situation.
Answered by GPT-4o mini
To find out how many hours the plumber worked, we can use the following equation:

\[
\text{Total cost} = \text{Hourly rate} \times \text{Hours worked}
\]

In this case, the total cost is $180, and the hourly rate is $45. We can set up the equation as follows:

\[
180 = 45 \times \text{Hours worked}
\]

To find the number of hours worked, we can divide both sides of the equation by $45:

\[
\text{Hours worked} = \frac{180}{45}
\]

Calculating that:

\[
\text{Hours worked} = 4
\]

So, the plumber worked **4 hours**.

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