Need some Homework help for my son and I am not doing so great figuring out the correct answer- all explanations a greatly appreciated..... he has the following 3 part word problem.
Josh mows lawns after school and earns $25 for each lawn mowed.
1. write a direct variation equation that relates the number of lawns Josh mows with the total amount of money he earns
2. What is the constant variation?
3. Josh earns an extra $15 for weeding a neighbors garden. The total amount of money (a) Josh makes with this extra $15 can be modeled by a=25L + 15. Is this a direct variation equation? Explain
Thanks!
9jji
1. To write a direct variation equation that relates the number of lawns Josh mows with the total amount of money he earns, we need to identify the variables involved and how they relate to each other. In this case, the variables are the number of lawns mowed (L) and the amount of money earned (M).
A direct variation equation can be written in the form M = kL, where k is the constant of variation. Since Josh earns $25 for each lawn mowed, the equation becomes M = 25L.
2. The constant of variation, represented by k, indicates how the variables are related to each other. In this case, the constant of variation is 25, as every time the number of lawns mowed (L) increases by 1, the amount of money earned (M) increases by $25.
3. The equation given, a = 25L + 15, represents the total amount of money Josh makes, including an extra $15 for weeding a neighbor's garden. While this equation does involve the number of lawns mowed (L), it is not in the form of M = kL that defines direct variation. Instead, it is in the form of M = kL + C, where C is an additional constant term (in this case, $15). Therefore, this equation is not a direct variation equation because it includes a constant term.