Question

Jana earns $25 per week for mowing the lawn and deposits the money into her savings account. The amount of money in Jana’s account can be represented by the equation y = 25x + 125, where x is the number of weeks she has been mowing the lawn. What does the y-intercept of the graph represent in this situation? Choose from the options below.
a the amount of money Jana has after she mows 5 lawns
b the amount of money Jana earns mowing each lawn
c the amount of money in Jana's account before she began mowing lawns
d the amount of money Jana deposits into her savings account after 1 week of mowing lawns

Answer 1

Slope-intercept form:  y = mx + b

(m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis)

x = the number of weeks she mows the lawn

y = the amount of money in Jana's savings account

y = 25x + 125    

[amount of money in savings account(y) = $125 plus $25 per week(x)]

y-intercept = 125

So if x = 0 weeks and y = $125 in the savings account, $125 was already/initially in the savings account before she started earning and depositing $25 per week. Your answer is C