Answer: Definition: Ratio of the size of the map to its subject: Scale ... so scale = 1 cm / 100,000 cm = 1/100,000. - Scale ... STEP 1: - 2 cm represents 5 km
Step-by-step explanation:
STEP 1: - 2 cm represents 5 km - (write in full)
- STEP 2: - 1 cm represents 2.5 km - (divide so left side = 1)
- STEP 3: - 1 cm represents 250,000 cm - (convert to same units)
- STEP 4: - scale is 1 : 250,000 - (express as a representative fraction)
We'll do it in cents and convert when we have to.
Tanya paid x per item, a total of 4x.
Tony paid x-125 per item (in cents) for a total of 5(x-125)
4x = 5(x-125)
4x = 5x - 625
x = 625 = $6.25
Check:
4(625) = 2500
5(625-125)=2500, same, checks
Answer: Tanya paid $6.25 per item, Tony $5.00 per item
Table 1
Input (x) 1 3 5 5 9
Output (y) 7 16 19 20 28
We know that a function is a relation where each input or x-value of the X set has a unique y-value or output of the Y set.
In other words, we can not have duplicated inputs as there should be only 1 output for each input.
From Table 1, it is clear that:
- Each input or x-value of the X set has a unique y-value or output of the Y set.
- There is no duplicated input (repeated x value).
Therefore, Table 1 represents a function.
Table 2
Input (x) 0.5 7 7 12 15
Output (y) 7 15 10 23 30
We already know that a function is a relation where each input or x-value of the X set has a unique y-value or output of the Y set.
In other words, we can not have duplicated inputs as there should be only 1 output for each input.
From Table 2, it is clear that:
- There is a duplicated input (repeated x value) i.e. x = 7 appears twice. And we can not have repeated input values.
As the input x = 7 is repeated multiple times, thus, the given table 2 does not represent a function.
Therefore, Table 2 does not represent a function.
