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ehidna [41]
3 years ago
15

A student model the relationship in the table with the equation x = 4y. Explain the student's error. Write and equation that cor

rectly models the relationship.

Mathematics
1 answer:
FrozenT [24]3 years ago
3 0
A student model relationship with equation y=4x
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How do you write a function of t that represents the situation(sales $10,000 increase by 65% each year)?
Shkiper50 [21]

Answer:

  s(t) = 10000·1.65^t

Step-by-step explanation:

The general form of an exponential model is ...

  f(t) = (initial value) × (1 +(fractional change))^t

where the fractional change can be positive or negative and t is the number of time units. Each time unit will correspond to the period required for the fractional change.*

__

For your problem, you have (initial value) = 10,000 and (fractional change) = 65% = 0.65 with time units of 1 year. Your function for sales (s) will then be ...

  s(t) = 10000·1.65^t

_____

* The business regarding time units has to do with problems where you get a description like "increased 30% in 4 hours." Then, if t is in hours, the multiplier of the initial value looks like 1.30^(t/4).

7 0
3 years ago
Driving at a constant speed, Reggie travels 300 kilometers in 1 hour.
vredina [299]
Wouldn't it just be 300 kilometers per hour as the answer?
6 0
3 years ago
Which model shows two equal expressions when c= 4?
lapo4ka [179]

Answer:

the third answer

Step-by-step explanation:

c = 4

c + 1 = 1 + 1 + 1 + 1 + 1

4 + 1 = 1 + 1 + 1 + 1 + 1

5 = 5

3 0
2 years ago
A "child has six blocks, three of which are red and three of which are green". How many patterns can shemake by placing them all
makvit [3.9K]

Answer: There are 20 ways and 1680 ways respectively.

Step-by-step explanation:

Since we have given that

Total number of blocks = 6

Number of red blocks = 3

Number of green blocks = 3

So, Number of patterns she can make by placing them all in a line is given by

\dfrac{6!}{3!\times 3!}\\\\=20

If there are 3 white blocks

so, total number of white blocks becomes 9

So, Number of total pattern she can make by placing all nine blocks in a line is given by

\dfrac{9!}{3!\times 3!\times 3!}\\\\=1680\ ways

Hence, there are 20 ways and 1680 ways respectively.

6 0
3 years ago
Gloria earns 1.5 times her normal hourly pay for each hour that she works over 40 hours in a week. Here normal pay is $9.70 per
svetoff [14.1K]
She earns ($9.70x40) for a 40 hour week=$388
She earned $489.85-$388 extra= $101.85
She gets paid $9.7x1.5 for every extra hour=$14.55
She worked $101.85/$14.55 hours extra=7hours
She worked 7+40 hours that week=47 hours
5 0
3 years ago
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