Question

3. The equation y = 19x describes the amount of money Jeff earns, where x is the number of hours he works and y is the amount of money he earns.

The table shows the amount of money Carl earns for different numbers of hours worked.

(a) How much money does Jeff earn per hour? Show your work on how you found the constant of proportionality.
(b) How much money does Carl earn per hour? Show your work on how you found the constant of proportionality.
(c) Who earns more per hour? Justify your answer by comparing the two. Please use complete sentences.
(d) Draw a graph that represents Carl’s earnings over time in hours. Remember to label the axes with the real world quantities that x and y represent.
( please add a graph!! )

Answer 1

#1

`\\ \sf\longmapsto y=19x`

• Per hour means x=1

`\\ \sf\longmapsto y=19(1)=\$19`

#2

Carl earns in 3hours=45

He earns per hour=

`\\ \sf\longmapsto (45)/(3)=15\$`

#3.

Jeff earns more per hour .

As

• 19$>15$

#4

Graph attached