How do graphs and equations reveal information about a relationship between two quantities
1 answer:
Graph and equation both shows the proportional comparison between two quantities
for example, equation y = 4x, this means, the value of 'y' will always be 4 times the value of 'x'
More complex equation such as y = 3x + 5, means that the value of 'y' equals to 5 more triples of value of 'x'
Another example is the conversion graph attached below, it shows the relationship between kilometers and miles. For example, we want to find out how many miles are in 10 kilometers, we would draw a line from the point that shows 10 km towards the graph, then across from the graph to miles, and we'd get a reading of 12 miles.
for example, equation y = 4x, this means, the value of 'y' will always be 4 times the value of 'x'
More complex equation such as y = 3x + 5, means that the value of 'y' equals to 5 more triples of value of 'x'
Another example is the conversion graph attached below, it shows the relationship between kilometers and miles. For example, we want to find out how many miles are in 10 kilometers, we would draw a line from the point that shows 10 km towards the graph, then across from the graph to miles, and we'd get a reading of 12 miles.
You might be interested in
<h3>HCF and LCM Questions</h3>
Responses:
6. (i) 27
(ii) 4 rose stalks, 3 lily stalks, and 2 orchid stalks
7. After 18 minutes
8. (i) May 7th
(ii) Every 12 days
<h3>How can the HCF and LCM be used to find the right responses?</h3>6. The number of stalks of roses = 108
Number of stalks of lilies = 81
Number of stalks of orchids = 54
(i) The largest number of baskets that can be packed is given by the
Highest Common Factor, GCF , or HCF, of 108, 81, and 54, which is
found as follows;
54 = 2 × 27
81 = 3 × 27
108 = 4 × 27
Therefore;
The HCF of 108, 81, and 54 is 27
Which gives;
- The largest number of baskets that can be packed = <u>27</u>
(ii) From the above factors, we have;
- Number of rose stalks per basket = <u>4</u>
- Number of lilies per basket =<u> 3</u>
- Number of orchids per basket =<u> 2</u>
7. Length of the circular path = 1 km. = 1,000 m.
Time Lixin takes to walk one round = 18 minutes = 1,080 seconds
Time Khairul takes to run one round = 360 seconds
Time Devi takes to cycle 2 rounds = 4 minutes
Therefore;
Time Devi takes to complete 1 round = = 2 minutes = 120 seconds
Required:
The time at which the three of them will next meet at the starting point
Solution:
The time at which they meet at the starting point is given as the lowest
common multiple, LCM of 1,080, 360, and 120, which is given as
follows.
1,080 = 360 × 3
1,080 = 120 × 9
1,080 = 1,080 × 1
Therefore;
The LCM of 1,080, 360, and 120 is 1,080
- The time they will next meet at the starting point is after 1,080 seconds which is <u>18 minutes</u>
8. The days off of Nora = Every 4 days
Days off for Amirah = Every 6 days
Nora's last day of = 29 April
Amirah's last day off = 1 May
(i) The next time they will both have the same day off is given as follows;
6·x = 2 + 4·x
2·x = 2
x = 1
Therefore, the next time Amirah has a day off, which is 1 May + 6 days = 7 May, they will both have the same day off.
- They will both have the same day off on May 7
(ii) The number of days that it will take for them to have the same day off is given by the HCF of 4 and 6, which is <u>every 12 days</u>.
Learn more about LCM and HCF here: