Question

You water the plants in your classroom at a constant rate. After 5 seconds, your watering can contains 58 ounces of water. Fifteen seconds later, the can contains 28 ounces of water.

a. Write an equation in slope-intercept form that represents the amount yy (in ounces) of water in the can after xx seconds.

Answer 1

To write an equation in slope-intercept form, we can use the given points to find the slope and y-intercept of the line. The equation that represents the amount of water in the can after x seconds is y = -2x + 68.

Step-by-step explanation:

To write an equation in slope-intercept form, we need to find the equation of a line in the form y = mx + b, where m is the slope and b is the y-intercept.

Given that the watering can contains 58 ounces of water after 5 seconds and 28 ounces of water after 20 seconds, we can use these two points to find the slope (m).

m = (28 - 58) / (20 - 5) = -30 / 15 = -2

Next, we can substitute one of the points and the slope into the equation and solve for b:

58 = -2(5) + b

b = 68

Therefore, the equation that represents the amount of water in the can after x seconds is

y = -2x + 68