Respuesta :

Answer:

[tex]y=9.75x[/tex]

Step-by-step explanation:

  • Your y is always the dependent variable, or the value that changes when another value changes
  • So which one depends on the other, between the 'money for school charity' and 'number of lawns mowed'? the money for charity depends on how lawns are mowed, so this is y
  • Now we have y, and we already know it depends on the number of loans mowed, so number of lawns mowed is x
  • So an equation in the form [tex]y=mx+b[/tex] is a slope-intercept form where m is the slope and b is just a constant number, in this case b is 0.
  • so we have [tex]y=mx[/tex]
  • Now the slope m is interesting because it is the "amount of change"
  • Let's ask ourselves, when Donny mows one lawn he gets, 9.75 dollars, and when he mows 2 lawns he gets  19.5 dollars
  • The amount change here is 9.75, so that's our slope m is 9.75
  • so the equation is [tex]y=9.75x[/tex]