MATH SOLVE

9 months ago

Q:
# Write a function rule for the table days 1/2/3/4 cost to rent a truck 34/50/66/82

Accepted Solution

A:

Days : 1 2 3 4 →→→→→→D(X axis)Rent a Truck: 34 50 66 82→→→→→→R(Y axis)As you can observe from number of Days and Amount to rent a truck , if you rent for a day the price being $ 34 and with increase in Day the rent increases by $ 16.Plotting the point on graph , found that these points are collinear.So, we can Represent this relation between days and Rent in equation of two variables representing a line.Two point formula of line: [tex]\frac{y-y_{1}}{x-x_{1}}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex] →→Equation of line passing through two points [tex](x_{1},y_{1}) and (x_{2},y_{2})[/tex]So , line representing Days and rent is :[tex]\frac{y-34}{x-1}=\frac{50-34}{2-1}\\\\ y- 34 = 16(x-1)\\\\ y - 34 = 16 x - 16\\\\ 16 x - y + 18=0[/tex]So, the rule representing Days and Rent is: 16 D - R + 18=0

Days : 1 2 3 4 →→→→→→D(X axis)Rent a Truck: 34 50 66 82→→→→→→R(Y axis)As you can observe from number of Days and Amount to rent a truck , if you rent for a day the price being $ 34 and with increase in Day the rent increases by $ 16.Plotting the point on graph , found that these points are collinear.So, we can Represent this relation between days and Rent in equation of two variables representing a line.Two point formula of line: [tex]\frac{y-y_{1}}{x-x_{1}}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex] →→Equation of line passing through two points [tex](x_{1},y_{1}) and (x_{2},y_{2})[/tex]So , line representing Days and rent is :[tex]\frac{y-34}{x-1}=\frac{50-34}{2-1}\\\\ y- 34 = 16(x-1)\\\\ y - 34 = 16 x - 16\\\\ 16 x - y + 18=0[/tex]So, the rule representing Days and Rent is: 16 D - R + 18=0