Answer:
Given equation is, (Dollar value of a sandwich shop of a tip jar)
[tex]0.65h+1.25[/tex]h is the number of hours since the shop opened.
a) To find the value where the tip jar increasing per hour.
we know that,
A slope of a line is the change in y coordinate with respect to the change in x coordinate.
The slope or gradient of a line is a number that describes both the direction and the steepness of the line. That gives the value of the rate of y with respect to x.
The equation of a line with slope and intercept is,
y=mx+c
where m is the slope.
The increasing value of a tip jar per hour is the slope of the given equation.
The slope of the ginen equation is,
[tex]0.65[/tex]we get,
$0.65 is value of the tip jar increasing per hour
Answer is: $0.65 is value of the tip jar increasing per hour.
b) To find the initial value of the tip jar when the shop opens.
Given equation is, (Dollar value of a sandwich shop of a tip jar)
[tex]0.65h+1.25[/tex]h is the number of hours since the shop opened.
When the shop opens, we get that h=0
Substitute h=0 in the given equation we get,
[tex]1.25[/tex]Therefore, the initial value of the tip jar when the shop opens is $1.25.
Answer is: Therefore, the initial value of the tip jar when the shop opens is $1.25.