Let's break down the cost of purchasing \( x \) yogurts.
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Cost of Yogurts: Each yogurt costs $0.75, so the total cost for \( x \) yogurts without any coupon is given by: \[ \text{Cost of } x \text{ yogurts} = 0.75x \]
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Applying the Coupon: You have a coupon for $0.50 off the total purchase. Therefore, the total cost after applying the coupon is: \[ \text{Total cost with coupon} = 0.75x - 0.50 \]
Thus, the function rule for the cost of \( x \) yogurts, including the coupon discount, can be written as: \[ C(x) = 0.75x - 0.50 \]
Now, let's calculate the total costs for the specified values of \( x \):
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For \( x = 1 \): \[ C(1) = 0.75(1) - 0.50 = 0.75 - 0.50 = 0.25 \]
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For \( x = 2 \): \[ C(2) = 0.75(2) - 0.50 = 1.50 - 0.50 = 1.00 \]
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For \( x = 3 \): \[ C(3) = 0.75(3) - 0.50 = 2.25 - 0.50 = 1.75 \]
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For \( x = 5 \): \[ C(5) = 0.75(5) - 0.50 = 3.75 - 0.50 = 3.25 \]
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For \( x = 7 \): \[ C(7) = 0.75(7) - 0.50 = 5.25 - 0.50 = 4.75 \]
Total Costs:
- \( x = 1 \): $0.25
- \( x = 2 \): $1.00
- \( x = 3 \): $1.75
- \( x = 5 \): $3.25
- \( x = 7 \): $4.75
The total costs for the specified values of \( x \) are:
- For 1 yogurt: $0.25
- For 2 yogurts: $1.00
- For 3 yogurts: $1.75
- For 5 yogurts: $3.25
- For 7 yogurts: $4.75
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