Answer:
Correct choice is A
Step-by-step explanation:
Variable x represents the number of letters in the name and variable y represents the length of a name on a nameplate. The function
[tex]y=1.47x+2.05[/tex]
determines the relationship between x and y.
When the nameplate is 6 inches long, then y=6 and you can find x:
[tex]6=1.47x+2.05,\\ \\1.47x=6-2.05,\\ \\1.47x=3.95,\\ \\x\approx 2.69.[/tex]
Since the number of letters that a name contains should be a whole number, then
[tex]x\approx 3\ letters.[/tex]