The diagram below shows the speed - time graph of the motion of an athlete during a race.
Speed
la ms
14
12
10
8
6
4
2
12
13
9 10
4
6
5
7 8
2
0 1
Time la seconds
(a) Using the graph determine,
(i) the MAXIMUM speed
(ii) the number of seconds for which the speed was constant
(iii) the TOTAL distance covered by the athlete during the race.
(b) During which time period of the race was,
(i) the speed of the athlete increasing
(ii) the speed of the athlete decreasing
(iii) the acceleration of the athlete zero?​

step-by-step explanation:

let's assume

number of candles set =x

price of of x candles =p(x)

we are given

a candle maker prices one set of scented candles at $10 and sells an average of 200 sets each week

so, we get point as (200,10)

he finds that when he reduces the price by $1, he then sells 50 more candle sets each week

so, we can find slope

now, we can use point slope form of line

now, we can plug values

we can use point

and find b

now, we can plug it back

and we get

now, we can find revenue

we know that

revenue = price*quantity

so, we get

this is a direct variation proportion. y = kx

y is the total amount due, k is the constant of variation, and x is the number of texts sent.

plug in the 3.20 and the 16 to solve for the "k". this is the constant of proportionality. it is the value that will not change.

3.20 = k(16). solving you get $.20 per text.

the equation would then be y = .20x