the graph represents the cost of a subscription to a newspaper.\nweekly newspaper subscription\nwhat is the…

the graph represents the cost of a subscription to a newspaper.\nweekly newspaper subscription\nwhat is the constant of variation for the subscription cost based on the number of weeks?\n$1.50\n$7.50\n$15.00\n$30.00

the graph represents the cost of a subscription to a newspaper.\nweekly newspaper subscription\nwhat is the constant of variation for the subscription cost based on the number of weeks?\n$1.50\n$7.50\n$15.00\n$30.00

Answer

Explanation:

Step1: Recall constant of variation formula

The constant of variation ( k ) for a direct variation ( y = kx ) (where ( y ) is total cost and ( x ) is number of weeks) is ( k=\frac{y}{x} ).

Step2: Use a point to calculate ( k )

Take the point ((4, 30)). Substitute ( x = 4 ) and ( y = 30 ) into ( k=\frac{y}{x} ).
( k=\frac{30}{4}=7.5 ).
We can verify with another point, e.g., ((8, 60)): ( k=\frac{60}{8}=7.5 ), or ((12, 90)): ( k=\frac{90}{12}=7.5 ).

Answer:

$7.50