Micheal wants to buy an efficient smart car that according to the latest EPA standards gets 33 mpg in the city and 40 mpg on the highway. The car that Micheal picked out costs $16,100. His dad agreed to purchase the car if Michael would pay it off in equal monthly payments for the next 70 months. The equation y= -230x+16,100 represents the amount, Y (in dollars), that Michael owes his father after X months.
A) How much does Michael owe his dad after six months?
B) determine the slope of the line and interpret its meaning in the context of this problem.
1) Micheal owes his father $[ ] after 6 months.
2) The slope is [ ]
3) The amount Michael owes his father [choose one] by $[ ] per month.

The intercept reveals that the first loan amount was $1,560.00.Every month, Michael's debt to his father drops by 290.What is an intercept?The term "intercept" refers to the x- and y-intercepts of of a given equation. The x-intercept is the point at which a line crosses the x-axis and the y-intercept is the point at which a line crosses the y-axis.acc to our question-The amount Michael owes is given by :y = - 290x +18,560x = number of months ; y = amount owedAmount owed after 3 months :Put x = 3 in the equation :y= - 290(3) +18,560y = - 870 + 18560y = 17690According to the general form of a linear equation :y = mx + cWhere, m = slope ; c = interceptThe slope = - 290 ; Intercept = 18560Slope is the change in y per unit change in x ; The slope means that amount owed, y decreases by 290 per monthThe intercept shows that the original amount borrowed is 18560.Hence,The intercept reveals that the first loan amount was $1,560.00.learn more about intercept click here:https://brainly.com/question/15118792#SPJ13