Answer:
To write an expression for the total cost of both memberships after m months, we can use the following vocabulary words:
- Startup fee: a one-time fee charged at the beginning of a service or membership
- Monthly fee: a recurring fee charged every month for a service or membership
Using this information, we can write the expression as:
Total cost = (Startup fee for digital library) + (Monthly fee for digital library x number of months) + (Monthly fee for video streaming service x number of months)
Substituting the given values, we get:
Total cost = (5) + (9.95 x m) + (7.99 x m)
Simplifying the expression, we get:
Total cost = 5 + 17.94m
Therefore, the total cost of both memberships after m months can be expressed as 5 + 17.94m.