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aniked [119]
3 years ago
7

Georgia filled her kitchen sink up with water so that she could do the dishes. When she was done with the dishes, she pulled out

the drain stopper so the water could begin to drain out of the sink.
A linear model of this situation contains the values (2, 8.4) and (4, 7.8), where x represents the number of seconds, and y represents the water level in the sink, in inches.

What is the rate of change in this linear model?
A.
-0.3 of an inch per second
B.
0.3 of an inch per second
C.
-9 inches per second
D.
-0.6 of an inch per second
Mathematics
2 answers:
Over [174]3 years ago
7 0

Answer:

A) -0.3 of an inch per second

Step-by-step explanation:

You'll have to put (2, 8.4) and (4, 7.8) into the slope formula.

It's represented as (∆y)/(∆x) = m

(y1 + y2)/(x1 + x2) = m

You subtract both y's in the numerator and subtract both x's in the denominator.

Like this:

(8.4-7.8)/(2-4) = m

(0.6)/(-2) = m

-0.3 = m

jeyben [28]3 years ago
6 0

Answer:

y = (-0.3 in/sec)x + 9.0 in

Step-by-step explanation:

(2, 8.4) and (4, 7.8) are points on a linear graph.

As we go from  (2, 8.4)  to  (4, 7.8), x increases by 2 and y decreases by 0.6.

Thus, the slope of the line is m = rise / run = -0.6 / 2, or m = -0.3 inches/sec

Let's use the slope-intercept form of the equation of a straight line, with m = -0.3 in/sec and one point being (2, 8.4).

Then y = mx + b becomes 8.4 = (-0.3 in/sec)(2) + b, or

8.4 = -0.6 + b.  Thus, b = 9.0, and the desired equation is thus:

y = (-0.3 in/sec)x + 9.0 in

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kvv77 [185]
Step by step explanation

Cost of one hotdog =140/56=2.5

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2 years ago
What is the value of x?
garik1379 [7]

Answer:

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Step-by-step explanation:

The angle 30° and 2x are complementary angles.

Two angles are called complementary angles, if their sum is one right angle (90°).

Therefore we have the equation:

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3 years ago
Maggie is training to run a 6 mile race. Her training program has her increase her weekly long run each week. This week she ran
Korvikt [17]

Answer:

Maggie will run 5.85 miles next week.

Step-by-step explanation:

Given:

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Next week she will run 1.3 times as far as she did this week.

We need to distance she will run next week.

Now we know Next week she will run 1.3 times as far as she did this week.

It means Distance to be run next week will be equal to 1.3 times distance she ran this week.

Framing in equation form we get;

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