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marysya [2.9K]
3 years ago
13

18. What is the slope of the linear function associated with the sequence {12, 9, 6, 3} for x = 1, 2, 3, 4?

Mathematics
1 answer:
Aloiza [94]3 years ago
4 0

Answer:

D) -3

Step-by-step explanation:

Slope of a linear function:

The slope of a linear function is the amount by which y changes when x increases by 1.

In this question:

When x = 1, y = 12

When x = 2, y = 9

When x = 3, y = 6

When x = 4, y = 3

So each time x increases by 1, y decreases by 3, which means that the slope is -3, and the answer is given by option D.

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A ball was tossed up into the air. The height of the ball as a function of the time the ball is in the air in seconds can be mod
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The height of the ball 2 seconds after being thrown is 20.8m

In order to get the required quadratic function, we need to write the given information as coordinate.

  • If the time the ball was initially thrown in the air, it was 7. 5 meters off the ground, this is written in a coordinate form as (0, 7.5)

  • If after 1. 25 seconds, the ball was at its maximum height of 15.3125 meters in a coordinate form as (1.25, 15.3125)

Get the slope of the equation;

m=\frac{15.3125-7.5}{1.25-0}\\m= \frac{7.8125}{1.25}\\m= 6.25

Get the y-intercept "b"

Recall that y = mx + b

7.5=6.25(0) + b\\7.5 = b\\ b= 7.5

Get the required equation:

y = 6.65x + 7.5

Next is to get the height of the ball 2 seconds after being thrown

y = 6.65x + 7.5\\y = 6.65(2)+ 7.5\\y=13.3 + 7.5\\y=20.8m

Hence the height of the ball 2 seconds after being thrown is 20.8m

Learn more on functions here: brainly.com/question/1214333

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