Question

This equation shows how the total cost of visiting the science museum as a member is related to the number of visits. c = 9.8v + 22.7 The variable v represents the number of visits to the science museum, and the variable c represents the total cost of those visits. What is the maximum number of visits a member of the science museum can make for a total cost of $42.30?

Answer 1

1st plug in 42.30 as C. 42.30=9.8v+22.7
2nd: subtract 22.7 from both sides to cancel it out. 42.30-22.7=9.8v+22.7-22.7
3rd: simplify. 19.6=9.8v
4th: divide by 9.8 so that it cancels out. 19.6/9.8=9.8v/9.8
5th: simplify. 2=V

Answer 2

Well it's giving you what the cost is (42.3), so plug that in for $c$:

$42.3 = 9.8v + 22.7$

And now you need to solve for the number of visits ($v$)!

$19.6 = 9.8v$

$v=2$

So you can visit the museum a maximum of 2 times!