Matthew2 is going door-to-door asking his neighbors to sign up with his lawn mowing company. He charges each client $10 to establish a contract with his company and $15 per hour to mow their lawns each week. Which function represents the amount of money Matthew earns each week from each client? (1 point) Responses m(h)=10h−15 m times h is equal to 10 h minus 15 m(h)=15h+10 m times h is equal to 15 h plus 10 m(h)=10h+15 m times h is equal to 10 h plus 15 m(h)=15h−10
The correct function that represents the amount of money Matthew earns each week from each client is m(h) = 10h + 15.
The function that represents the amount of money Matthew earns each week from each client is m(h) = 15h + 10.
To understand why this function represents the amount of money earned, we look at the components:
- "m(h)" stands for the amount of money (m) Matthew earns each week from each client, which is a function of the number of hours (h) he spends mowing their lawns.
- "15h" represents the amount of money earned per hour (15 dollars per hour in this case) multiplied by the number of hours worked (h).
- "+10" represents the fixed cost of $10 that each client pays to establish a contract with Matthew's lawn mowing company.
By adding the money earned per hour and the fixed cost, we get the total amount of money earned from each client each week. Therefore, the correct function is m(h) = 15h + 10.
The correct function that represents the amount of money Matthew earns each week from each client is:
m(h) = 15h - 10
Explanation:
- The variable 'h' represents the number of hours Matthew mows the client's lawn each week.
- The term '15h' represents the amount of money Matthew earns per hour, as he charges $15 per hour.
- The term '-10' represents the initial contract fee Matthew charges each client.
- By subtracting the contract fee from the earnings per hour, we get the function m(h) = 15h - 10 as the amount of money Matthew earns each week from each client.