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Answer: f(x) = $0.35x + $4.50
Solution: First, we notice that when the number of scoops of super vitamin powder increases by 2, the price increases by $5.55 – $4.85 = $0.70. So, each scoop of super vitamin powder costs $0.35. To find the cost of a 16–ounce smoothie without the super vitamin powder, we can subtract $4.85 – $0.35 = $4.50. So, the cost of a green smoothie is $4.50 plus the total of $0.35 times the number of scoops:
f(x) = $0.35x + $4.50
Answer: $4.20
Solution: Each soda costs $0.10 more than a bottle of water. So, each day, William saves $0.10 × 6 = $0.60. In a week, he saves $0.60 × 7 = $4.20.
