N. 6 write a linear function: word problems Hwm Belle is buying a bouquet of flowers for her grandmother. She can add however many flowers she wants for \( \$ 2 \) each. She also decides to buy a vase that costs \( \$ 10 \). Write an equation that shows how the total cost, \( y \), depends on the number of flowers, \( x \). Do not include dollar signs in the equation. \( y=y \)
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To find the total cost \( y \), you start with the vase cost of \( 10 \), then add \( 2 \) for each flower. This gives us the equation: \( y = 2x + 10 \). Here, \( x \) represents the number of flowers Belle buys. So, if she buys 5 flowers, the total cost would be \( y = 2(5) + 10 = 20 \). Now, here’s a fun twist: if Belle buys a dozen roses and makes her grandmother smile, she’ll spend \( y = 2(12) + 10 = 34 \). But if she opts for a more extravagant floral arrangement with 24 flowers, it will cost her \( y = 2(24) + 10 = 58 \). Who knew budgeting for a bouquet could be so much fun?