Answer:
[tex]R(t)=10+0.50t[/tex]
Step-by-step explanation:
Let t represent the number of years.
We have been given that When Joseph first starts working at a grocery store, his hourly rate is $10.
For each year he works at the grocery store, his hourly rate increases by $0.50. Increase in hourly rates after t years would be [tex]0.50t[/tex]
The hourly rates after t years will be 10 plus [tex]0.50t[/tex].
We can represent this information in an equation as:
[tex]R(t)=10+0.50t[/tex]
Therefore, the function [tex]R(t)=10+0.50t[/tex] represents Joseph's hourly rates after t years.
Answer:
0.5t+10
Step-by-step explanation:
The yearly increase to Joseph's hourly rate is constant, so we're dealing with a linear relationship.
We could write the desired formula in slope-intercept form: R=mt+b. in this form, m gives us the slope of the graph of the function and b gives us the values of m and b and substitute them into this formula.
We know that for each year Joseph works at the grocery store, his hourly rate increases by 0.50, so the slope m is 0.5 and our function looks like R= 0.5+b.
We also know that his starting hourly rate is $10 dollar sign, 10, so the y-intercept b is 10.
