Respuesta :
Using the information given, it is found that:
- a) The slope is of 24, which means that for each day, the total bill increases by $24.
- b) The linear equation is: [tex]y = 24x + 50[/tex]
Linear functions:
A linear function is modeled by:
[tex]y = mx + b[/tex]
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0.
Item a:
- The total bill for 12 days is $338.
- The total bill for 19 days is $506.
The slope is given by the change in y(total bill) divided by the change in x(number of days), hence:
[tex]m = \frac{506 - 338}{19 - 12} = 24[/tex]
The slope is of 24, which means that for each day, the total bill increases by $24.
Item b:
- The total bill for 12 days is $338, hence, when [tex]x = 12, y = 338[/tex], and this is used to find b.
[tex]y = 24x + b[/tex]
[tex]338 = 24(12) + b[/tex]
[tex]b = 50[/tex]
Hence, the linear equation is: [tex]y = 24x + 50[/tex]
You can learn more about linear functions at https://brainly.com/question/25823744
