Alfred needs to buy small pumpkins that cost $2.75 each. The function he uses is ()=2.75. Use the function to determine the cost of 25 pumpkins.
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From the question, we have a linear function for the cost of each pumpkin, and this function is:
[tex]f(x)=2.75x[/tex]As we can see, the cost for one pumpkin is:
[tex]f(1)=2.75(1)=\text{ \$2.75}[/tex]Now, to find the cost for 25 pumpkins, we need to substitute the value of x = 25 into the function, since this is a function that gives us the cost as a function of the number of pumpkins:
[tex]\begin{gathered} f(x)=2.75x \\ \\ f(25)=2.75(25)=68.75 \\ \\ f(25)=68.75 \\ \\ \end{gathered}[/tex]As we can see, we multiply 2.75 times 25, and we got 68.75.
Therefore, in summary, it will cost $68.75 for 25 pumpkins.