Question

Photographer 1 charges a $100 fee for a photo shoot plus a rate of $75 per hour. The prices charged by Photographer 2 are shown in the table below.
 

Photographer 2  Time (hours)      Cost (dollars)   00112522503375


For a 5-hour photo shoot, which photographer would be less expensive? How much less expensive? Show your work.

Answer 1

To determine which photographer would be less expensive for a 5-hour photo shoot, let's calculate the total cost for each photographer.

**Photographer 1:**
- Fixed fee: $100
- Rate per hour: $75
- Time: 5 hours

Total cost for Photographer 1:
\[
\text{Total Cost} = \text{Fixed Fee} + (\text{Rate per hour} \times \text{Time})
\]
\[
\text{Total Cost} = 100 + (75 \times 5)
\]
\[
\text{Total Cost} = 100 + 375
\]
\[
\text{Total Cost} = 475
\]

**Photographer 2:**
According to the provided table, we need to find the cost for a 5-hour photo shoot. The cost given in the table for 5 hours is $225.

**Comparison:**
- Cost of Photographer 1 for 5 hours: $475
- Cost of Photographer 2 for 5 hours: $225

Now we can determine which photographer is less expensive and by how much:
\[
\text{Difference} = \text{Cost of Photographer 1} - \text{Cost of Photographer 2}
\]
\[
\text{Difference} = 475 - 225 = 250
\]

**Conclusion:**
Photographer 2 is less expensive by $250 for a 5-hour photo shoot.