Question

Each week Kaylee earns a base salary of $50 as a waitress, plus an additional$3.75 each hour she works. After six months of work, she received a raise and makes a base salary of $60, plus an additional$4.50 per hour, x. What change occurs to the y-intercept of the function.

Answer 1

Kaylee's salary function y-intercept increases by $10 after her raise, reflecting an increase in her base salary from $50 to $60 with no hours worked.

Step-by-step explanation:

The change that occurs to the y-intercept of Kaylee's salary function after she receives a raise reflects the increase in her base salary. Initially, the linear equation representing Kaylee's total earnings would be y = 50 + 3.75x, with a y-intercept (base salary) of 50. When she receives her raise, the new function becomes y = 60 + 4.50x, which increases the y-intercept to 60. The y-intercept represents the amount she earns without working any hours, which is simply her base salary. Therefore, the change in the y-intercept is an increase of $10, from $50 to $60.