A local boutique sells water bottles for a set price, plus an additional fee for each letter that customers would like engraved
on their water bottle. The pricing for up to 4 engraved letters is shown in the table below. Write an equation in slope-intercept form to represent the relationship between the number of letters and the total cost.
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Cross-multiply so that 8(3x + 1) = 14(2x)
Distribute the 8 and 14 into the parentheses:
24x + 8 = 28x
Subtract 24x from both sides:
8 = 4x
Divide both sides by 4:
x = 2
Distribute the 8 and 14 into the parentheses:
24x + 8 = 28x
Subtract 24x from both sides:
8 = 4x
Divide both sides by 4:
x = 2