QUESTION 1 A family with five people is living in a water-restricted area in Johannesburg. They can use 87 liters of water per person per day from the municipality. Use TABLE 1, the water tariff charges, to answer the questions that follow. Table 1 INORMAL WATER TARIFF CHARGES FOR JOHANNESBURG IN 2016/2017) Tariff Summary (in kilolitre) Tariff Rand per kilolitre (without VAT) 0-6 ke Free 7- 10 ke R7,14 11 - 15 ke R12.07 16 - 20 ke R17,65 21 - 30 ke R24,03 31 - 40 ke R25,81 > than 40 R32,27 [Source: Adapted from www. johannesburgwater. co. za Conversion: I ke = 1 000 litres and l m = 1000 litre Show that the volume of water (in kilo-litres) allowed for the whole family in 30 days is 13.05 kl.​

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the answer is: -22 also a

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step-by-step explanation:

1. 5/1

2. 10/16

3. 90/2

4. 1/20

5. 3/1

6. 14/24

7. 1/4

8. 18/10

a) 40 more; b) old factory:   10%, new factory:   16%; c) week 4

explanation:

a) at week 0, we see in the graph that the new factory produces 190 specialty items.  

using the function, substituting 0 in for w,

this is a difference of 230-190 = 40.

b) the function for the old factory is written in the form f(x) = a(1+r)ˣ, where a is the original amount, x is the amount of time and r is the growth rate.   the equation for the old factory is ; 230 is in place of a and is the original amount; w is the amount of time; which means 1+r = 1.1.   this means that r must be 0.1 or 10%.

for the new factory, we find the percent of increase to find the growth rate; the formula for this is

between the first two points, the amount of change is 220-190 = 30; this gives us

30/190 = 0.158 ≈ 0.16 = 16%

c) at week 0, the old factory has 230 while the new factory has 190.

at week 1, the old factory has 230(1.1) = 253 while the new factory has 220.

at week 2, the old factory has 230(1.1²) = 278.3 while the new factory has 252.

at week 3, the old factory has 230(1.1³) = 306.13 while the new factory has 290.

at week 4, the old factory has 230(1.1⁴) = 336.743 while the new factory has 337.   this is the first week that the new factory surpasses the old.