All categories

3 years ago

The value of y varies directly with x. If x=1/2, then y=40. Which of the following equations represents this situation?

Mathematics

1 answer:

AlexFokin [52]3 years ago

3 0

Option C: y = 80x is the right answer

Step-by-step explanation:

Varying directly means that the increase/decrease in one quantity will cause increase/decrease in other quantity.

If y varies directly with x it is given by::

y ∝ x

When the proportionality symbol is removed, a proportionality constant is introduced

y = kx

If x = 1/2 and y = 40

then

$40 = k * \frac{1}{2}\\k = 40*2\\k = 80$

Putting the value of k, we get

y = 80x

Hence,

Option C: y = 80x is the right answer

Keywords: Proportion

Learn more about proportion at:

#LearnwithBrainly

You might be interested in

The scale on a map is ½ inch = 15 miles. How far apart are two towns that are 2 inches apart on the map? Someone help me please!

erastova [34]

The two towns would be 60 miles apart. Because 2 inches divided by 0.5 inches is 4. So you have to multiply 15 miles and you’ll 60 miles

5 0

4 years ago

Read 2 more answers

Solve 16x + 9 = 9y – 2x for y.<br> y =

liberstina [14]

Y= 2x + 1, hope this helps

4 0

4 years ago

Read 2 more answers

rick earns $8.50 per hour at his mother office. He plans on working 12.5 hours this week. How much money will rick earn?

marusya05 [52]

That would be 8.50 times 12.5 which is $106.25

7 0

4 years ago

Read 2 more answers

In the morning, a farm worker packed 3 pints of strawberries every 7 minutes. In the afternoon, she packed 2 pints of strawberri

Doss [256]

Morning:
3 pints every 7 minute = 3/7 pints/minute = 0.429 pints/minute

Afternoon:
2 pints every 5 minutes = 2/5 pints/minute = 0.4 pints/minute

Difference:
3/7 - 2/5 = 15/35 - 14/35 = 1/35 pints/minute

0.429 - 0.4 = 0.029 pints/minute

6 0

3 years ago

Read 2 more answers

The following data show the height, in inches, of 11 different plants in a garden:

Andreas93 [3]

On average, the height of a plant varies 3.2 inches from the mean of 6 inches.

<h3>What does the mean absolute deviation represent? </h3>

An outlier is a number that is way smaller or way larger than that of other numbers in a data set. The outlier is 22.

Mean absolute deviation = (1/n) x ∑ l x - m(x) l

Mean without the outlier : (9 + 4 + 10 + 9 + 5+ 2 + 10 + 3 + 3+ 5) / 10 = 6

(1/10) x ∑ l (9 - 6) + (4 - 6) + (10 - 6) + (9 - 6) + (5 - 6) + (2 - 6) + (10 - 6) + (3 - 6) + (3 - 6) + ( 5 - 6) = 3.2

To learn more about outliers, please check: brainly.com/question/27197311

#SPJ1

3 0

2 years ago