Question

Please help me with question 2 of my algebra homework

Answer 1

The given table shows the linear relationship between the cost of renting a car (C) and the number of days the car is used (n)

(a). The y-intercept is the point where n is zero (0, 50) that is where the line cuts the C - axis or y - axis.

(b). The rate of change is the slope of the graph;

`\text{Rate of Change = }\frac{C_2_{}-C_1}{n_2-n_1}`

Let pick any two points; (0, 50) and (4, 170)

`C_1=50,C_2=170,n_1=0andn_2=4_{}`
`\begin{gathered} \text{Rate of Change = }\frac{170_{}-50_{}}{4_{}-0_{}} \\ \\ \text{Rate of Change = }\frac{120_{}}{4_{}}\text{ = 30} \end{gathered}`

(c). Domain :

`0\text{ }\leq\text{ n }\leq\text{ 4}`

(d). Range :

`50\text{ }\leq\text{ C }\leq170`