Subjects algebra

Mailing Cost B45858

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1. **Problem Statement:** We are given a step graph showing the cost in dollars to mail a letter from the US to Canada in 2018 as a function of the letter's weight in ounces. We need to find: - a) The cost to send a letter weighing 1.5 oz. - b) The cost to send a letter weighing 2 oz. - c) The range of the cost function. 2. **Understanding the Graph:** The graph is a step function with costs at certain weight intervals: - For weights between 0 and 2 oz, cost is $1.15$ - For weights between 2 and 4 oz, cost is $1.61$ - For weights between 4 and 6 oz, cost is $2.08$ 3. **Step a: Cost for 1.5 oz** Since 1.5 oz is between 0 and 2 oz, the cost is the first step: $$\text{Cost} = 1.15$$ 4. **Step b: Cost for 2 oz** At exactly 2 oz, the cost jumps to the next step, so cost is: $$\text{Cost} = 1.61$$ 5. **Step c: Range of the function** The cost values from the graph are: $$\{1.15, 1.61, 2.08\}$$ So the range is these discrete values. **Final answers:** - a) $1.15$ - b) $1.61$ - c) Range = $\{1.15, 1.61, 2.08\}$