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joja [24]
3 years ago
12

Kinda confused on this one, someone help please!

Mathematics
2 answers:
Leno4ka [110]3 years ago
7 0
As x increases from 0 to 1, y decreases from 89 to 55.  This could happen if 89 were multiplied by the rate of change factor 0.62:  0.62(89) = 55.  Likewise, if we mult. 55 by 0.62, we get 34, which also agrees with the table values for y.

Thus, this is an example of exponential decay, with decay constant 0.62.

trapecia [35]3 years ago
4 0
To determine which type of graph this is, look at the estimated population, and look at the differences between each point:

89, 55, 34, 21, 13

Differences: 34, 21, 13, 8

The differences are all different values, so linear can be removed.

Because the graph is decreasing at a rate, we can eliminate both quadratic answers, as they would have increasing values.

The answer is 'exponential; y = 89 * 0.62^x'.
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Mr. Monasterio ran to the store for burritos at 4 miles per hour. On the way back, he increased his speed to 6 miles per hour. I
sveticcg [70]

Answer:

It took 1.2 hours to get to the store

Step-by-step explanation:

Let the time taken to reach the store be t₁

Let the time taken to come back be t₂

Let the speed to and from store = s₁ and s₂ respectively

let the distance to the store = d

To the store:

speed = \frac{distance}{time} \\s = \frac{d}{t_1} \\t_1 = \frac{d}{s_1}\\t_1 =\frac{d}{4} - - - - - (1)

Back from the store:

s_2 = \frac{d}{t_2} \\t_2 = \frac{d}{s_2}\\where:\\s_2 = 6\ miles\ per\ hour\\t_2 = \frac{d}{6} - - - - - - (2)

We are told that total time (t₁ + t₂) = 2 hours

t₁ + t₂ = eqn (1) + eqn (2)

\frac{d}{4} + \frac{d}{6} = 2\\Multiplying\ through\ by\ 12:\\3d\ +\ 2d\ =\ 24\\5d = 24\\d = \frac{24}{5} \\d = 4.8\ miles

∴ length of trip to the store = t₁

from eqn (1)

t_1 = \frac{d}{4} \\t_1 = \frac{4.8}{4} \\t_1 = 1.2\ hours

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lana [24]

Answer:

1/3

Step-by-step explanation:

let x=0.333...

10x=3.333...

subtract

9x=3

x=3/9=1/3

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