Question

The graph represents the cost of a subscription to a newspaper. A coordinate plane showing Ferry Ride Cost with Number of Persons on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 2) and (5, 8). What is the constant of variation for the subscription cost based on the number of weeks? $1.50 $7.50 $15.00 $30.00

Answer 1

A

Explanation:

Answer 2

The constant of variation is $1.50

Explanation:

Given

Point 1 (1,2)

Point 2 (5,8)

Required

Constant of Variation

Though the graph would have assisted in answering the question; its unavailability doesn't mean the question cannot be solved.

Having said that,

the constant variation can be solved by calculating the gradient of the graph;

The gradient is often represented by m and is calculated as thus

`m = (y_2 - y_1)/(x_2 - x_1)`

Where

`(x_1, y_1) = (1,2)\\(x_2, y_2) = (5,8)`

By substituting values for x1,x2,y1 and y2; the gradient becomes

`m = (8 - 2)/(5 - 1)`

`m = (6)/(4)`

`m = (3)/(2)`

`m = 1.50`

Hence, the constant of variation is $1.50