Answer:
[tex]y=30x+45[/tex]
Step-by-step explanation:
Let
x ----> the number of hours
y ----> the cost in dollars
we know that
The linear equation in slope intercept form is equal to
[tex]y=mx+b[/tex]
where'
m is the slope or unit rate
b is the y-intercept of initial value
In this problem
we have
The slope is equal to
[tex]m=\$30\ per\ hour[/tex]
The y-intercept or initial value is equal to
[tex]b=\$45[/tex]
therefore
The linear equation in slope intercept form is equal to
[tex]y=30x+45[/tex]
