Answer:
Ben: e = 25t + 75
Kara: e = 25t
Explanation:
For Kara, the earnings go up $25 every hour, so equation is e = 25t. To show it works, substitute in each hour
0hr = 25 × 0 = 0
1hr = 25 × 1 = 25
2hrs = 25 × 2 = 50
3hrs = 25 × 3 = 75
For Ben, the earnings also go up $25 every hour, however receives a bonus which we will call x
so far we have equation e = 25t + x
substitute in any hour with earning, I'll use 1hr with $100
$100 = 25(1) + x
$100 = 25 + x
subtract 25 on both sides
$100 - 25 = 75
so x is 75
final equation: e = 25t + 75