18 months of All-Star Library membership cost $76 in total.
For the given equation.
The sign-up fee for the library-all-star-members club = $40.
Let 'x' be the total number of months.
Let 'y' be the total cost.
Monthly fee = $2.
Then, the linear equation models is-
y = 2x + 40
Given that a particular club member has been a part of it for 19 months, we replace x with the number 19 as follows:
y = 2x + 40
y = 2 * 18 + 40
y = = 36 + 40
y = 76.
Thus, 18 months of All-Star Library membership cost $76 in total.
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The complete question is-
3. In order to become a member of the library-all-star-members club, there is a $40 sign-up fee and a $2 monthly fee. Write an equation in slope-intercept form that models this situation. Use equation you wrote in problem 3 to find the total cost of being an all-star library member for 18 months.