Select the option that best describes the relationship
1 answer:
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Answer:
Step-by-step explanation:
Given information:
- Total number of pupils = 20
- 3 pupils play the flute
- 6 pupils play the piano only
- 6 play both instruments
We can assume that 3 pupils play the flute <u>only</u> as we have also been told that 6 pupils play both instruments.
To calculate the probability that a randomly chosen pupil plays neither instrument, first determine how many pupils do not play an instrument by subtracting the number of pupils who do play an instrument from the total number of pupils:
⇒ total number of pupils - pupils who play instruments
⇒ 20 - (3 + 6 + 6)
⇒ 20 - 15
⇒ 5
Therefore, 5 pupils do not play the piano and/or flute.
To calculate probability:
Therefore:
Answer:
Part A : E = 35h + 200
Part B : The per hour charges of the technician is $35/hour.
Step-by-step explanation:
The technician observes that his earnings are a linear function of the number of hours he works during the month. The technician finds that when he works 55 hours during the month, he earns $2,125 and when he works 30 hours, he earns $1,250 .
If we consider the number of hours that he works in a month is h and the amount he earns in dollars is E, then (30,1250) and (55,2125) are the two ordered pairs.
Part A : Therefore, the linear function to model the relationship between the number of hours worked and the money earned will be
⇒ E - 2125 = 35(h - 55)
⇒ E - 2125 = 35h - 1925
⇒ E = 35h + 200
Part B : The equation above is in the slope-intercept form and the slope is 35 which means that the per hour charge of the technician is $35/hour. (Answer)