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2. Jasmine's bath tub is full of water when she starts to drain the tub. The level of water in the tub y, in inches, after z minutes is
represented by the function y= 20-2z. Complete the sentences.
The y-intercept of the function is
because
because
The slope of the function is

Respuesta :

alisaponce

Answer:

-2

Step-by-step explanation:

To determine the y-intercept and slope of the function y = 20 - 2z:

1. Y-Intercept:

- The y-intercept is the value of y when z = 0 (where the function intersects the y-axis).

- Substitute z = 0 into the function: y = 20 - 2(0) = 20.

- The y-intercept of the function is 20 inches.

2. Slope:

- The slope of the function represents the rate at which the water level decreases over time.

- The coefficient of z in the function y = 20 - 2z is -2, indicating that the water level decreases by 2 inches for every unit increase in time (z).

- Therefore, the slope of the function is -2.

In summary:

- The y-intercept of the function y = 20 - 2z is 20 inches because it represents the initial water level in the tub before draining.

- The slope of the function is -2, indicating the rate at which the water level decreases per minute as the tub drains.

msm555

Answer:

The y-intercept of the function -20 because it represents the initial water level when x = 0.

The slope of the function is -2 because it indicates the rate of decrease in water level per minute.

Step-by-step explanation:

To complete the sentences based on the given function y = 20 - 2x:

The y-intercept of the function is 20.

This is because the y-intercept occurs when x = 0.

Substituting x = 0 into the function y = 20 - 2x gives:

y = 20 - 2(0) = 20

Therefore, when x = 0, the level of water in the tub is 20 inches, indicating that the tub is full.

The slope of the function is -2.

This is because the coefficient of x in the function y = 20 - 2x is -2.

The slope represents the rate of change of the water level with respect to time x.

In this case, the water level decreases by 2 inches for every 1 minute that passes (x increases by 1 minute).

Therefore, the slope of the function y = 20 - 2x is -2.

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