At the end of a snow storm, Jace saw there was a lot of snow on his front lawn. The temperature increased and the snow began to melt at a steady rate. The depth of snow on Jace's lawn, in inches, can be modeled by the equation S=15-1.5t, where t is the time, in hours, after the snow stopped falling. What is the y-intercept of the equation and what is its interpretation in the context of the problem?

the y-intercept is 15 which is the initial total depth of the snow at t=0 hours.

The rate of melting is 1.5inches per hour.  It will take 10 hours at the melting rate given of 1.5 to melt all the snow.

Step-by-step explanation:

the y-intercept is 15, and it might mean that the total depth of the snow is 15 inches.

The rate of melting is 1.5inches per hour.

At time = 0, S=15 - 1.5t = 15 - 1.5(0) = 15 inches to start

At time = 10, S=15 - 1.5t = 15 - 1.5(10) = 0 inches; meaning all snow has melted and it took 10 hours.

the ratio of balloons to tables is 5: 2 and the constant variation is 5.

the equation is y=5x