Answer:
Equation: y = 14x + 40
x-intercept: x = -2.857
y-intercept: y = 40
Step-by-step explanation:
After x hours of works, Terry will have 14 times x in their bank account. Because he will have $14 for each hour worked.
Additionally, he already has $40 in the bank, so the equation that would represent how much money Terry has in the bank is:
y = 14x + 40
Then, the x-intercept is the value of x when y = 0, so we need to solve the following equation:
0 = 14x + 40
0 - 40 = 14x + 40 - 40
-40 = 14x
-40/14 = 14x/14
-2.857 = x
In the same way, the y-intercept is the value of y when x = 0, so replacing and solving for y, we get:
y = 14x + 40
y = 14(0) + 40
y = 0 + 40
y = 40
The x-intercept represents the moment when Terry has $0 in his account. Since it is -2.857, it doesn't have sense in this context.
The y-intercept represents the money in the bank when he has 0 hours of work. It is equal to $40, so it makes sense in this context.