Math Problem Statement

determine the rate

Determine the rate based on the given table showing the number of photos and the corresponding cost.

Solution

To determine the rate, we can analyze the change in cost (CC) relative to the change in the number of photos (pp).

From the table:

  • When the number of photos increases by 5 (from 5 to 10), the cost increases from $35.50 to $36.00, which is a difference of 36.0035.50=0.5036.00 - 35.50 = 0.50.
  • Similarly, each subsequent increase of 5 photos (from 10 to 15 and 15 to 20) results in an increase of $0.50 in cost.

Thus, for every additional 5 photos, the cost increases by $0.50. To find the rate per photo, we divide this change by the number of photos:

Rate=0.505=0.10\text{Rate} = \frac{0.50}{5} = 0.10

Answer: The rate is $0.10 per photo.

Would you like further details or have any other questions?

Here are some related questions that might expand your understanding:

  1. What would be the total cost for 25 photos based on this rate?
  2. How can we represent this rate as a linear equation?
  3. What would be the cost for a single photo based on this rate?
  4. How would the cost change if the rate increased to $0.15 per photo?
  5. Can we predict the cost for a larger number of photos, like 50?

Tip: When calculating rates, always ensure consistent units in both the numerator and the denominator to interpret the rate accurately.

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Math Problem Analysis

Mathematical Concepts

Rates
Proportional Relationships

Formulas

Rate = Change in Cost / Change in Quantity

Theorems

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Suitable Grade Level

Grades 6-8