2. a snow - removal company charges clients using the formula ( t = 25h+50 ) where ( t ) is the total charge…

2. a snow - removal company charges clients using the formula ( t = 25h+50 ) where ( t ) is the total charge in dollars and ( h ) is the number of hours worked. (2 pts)\n\na. explain what the 25 represents\nb. explain what the 50 represents

2. a snow - removal company charges clients using the formula ( t = 25h+50 ) where ( t ) is the total charge in dollars and ( h ) is the number of hours worked. (2 pts)\n\na. explain what the 25 represents\nb. explain what the 50 represents

Answer

Brief Explanations:

a. In the linear equation (T = 25h+50), the coefficient of (h) (which is 25) represents the rate of change. In the context of the snow - removal company's charge, since (h) is the number of hours worked, 25 represents the charge per hour (in dollars per hour). b. The constant term in a linear equation (y=mx + b) (here (T) is like (y), (25h) is like (mx), and 50 is like (b)) is the value of (y) when (x = 0). In the context of the snow - removal charge, when (h = 0) (i.e., no hours of work), the company still has a charge. So 50 represents the fixed charge (in dollars) that the company has, regardless of the number of hours worked.

Answer:

a. The 25 represents the charge per hour (in dollars per hour). b. The 50 represents the fixed charge (in dollars) that the company has, regardless of the number of hours worked.