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Leto [7]
3 years ago
8

The students in Mrs. Willow's reading class are all reading the same novel independently. Four students create a graph of their

reading rates, in words per minute, as shown below.
Which student reads the fastest?

Mathematics
1 answer:
marin [14]3 years ago
6 0

Answer:

Sarah.

Step-by-step explanation:

Do not be fooled by how sharp the incline is, all of these graphs are labeled at different increments on both the x and y axes.

We will now solve this problem by figuring out each student's words per minute by dividing their words read (y-axis) by their time (x-axis).

Since the graphs are all linear, meaning they are constant and will never change. No matter what point we use on either graph we will come to the same words per minute for that student. For the sake of this explanation I will use the last point on each graph.

Charlie: Charlie read 1,750 words in 10 minutes, meaning he read at 175 words per minute. 1,750 / 10 = 175

Riley: Riley read 10,000 words in 50 minutes, meaning she read at 200 words per minute. 10,000 / 50 = 200

Sarah: Sarah read 1,300 words in 6 minutes, meaning she read at 216.67 words per minute. 1,300 / 6 = 216.67

Mason: Mason read 1,000 words in 5 minutes, meaning he read at 200 words per minute. 1,000 / 5 = 200

In conclusion, Sarah reads the fastest at 216.67 words per minute!

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Si un buzo se sumerge 4 metros luego sube 2 metros y finalmente desciende 5 metros más, ¿a qué profundidad se encuentra al final
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Así, concluimos que la posición final del buzo será 7 metros bajo la superficie del agua.

<h3 /><h3>¿a qué profundidad se encuentra al final de su recorrido?</h3>

Primero, vamos a definir la superficie del agua como el 0 metros.

Sí sabemos que primero el buzo se sumerge 4 metros, entonces en este punto la posición del buzo es:

P = 0m - 4m = -4m

Luego el buzo sube 2 metros, entonces la nueva posición será:

P = -4m + 2m = -2m

Finalmente, el buzo desciende otros 5 metros, entonces la posición final del buzo será:

P = -2m - 5m = -7m

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2 years ago
Find the equation of this line​
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3 years ago
What's the best approximation for the area of a semi circle with a diameter of 11.8 feet?
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3 years ago
The simple interest on a certain sum of money for 2 years at 5% per annum is Rs 320. What will be the compound interest on the s
Brilliant_brown [7]

Answer:

Rs 328

Step-by-step explanation:

Find the <u>principal</u> amount invested.

<u>Simple Interest Formula</u>

I = Prt

where:

  • I = interest earned
  • P = principal
  • r = interest rate (in decimal form)
  • t = time (in years)

Given:

  • I = Rs 320
  • r = 5% = 0.05
  • t = 2 years

Substitute the given values into the formula and solve for P:

⇒ 320 = P(0.05)(2)

⇒ 320 = P(0.1)

⇒ P = 3200

<u>Compound Interest Formula</u>

\large \text{$ \sf I=P\left(1+\frac{r}{n}\right)^{nt} -P$}

where:

  • I = interest earned
  • P = principal amount
  • r = interest rate (in decimal form)
  • n = number of times interest applied per time period
  • t = number of time periods elapsed

Given:

  • P = 3200
  • r = 5% = 0.05
  • n = 1 (annually)
  • t = 2 years

Substitute the given values into the formula and solve for I:

\implies \sf I=3200\left(1+\frac{0.05}{1}\right)^{2} -3200

\implies \sf I=3200\left(1.05\right)^{2} -3200

\implies \sf I=3200\left(1.1025\right) -3200

\implies \sf I=3528-3200

\implies \sf I=328

Therefore, the compound interest on the same sum for the same time at the same rate is Rs 328.

7 0
2 years ago
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