Name __________________________________________________________________ Per A B C D E F Date ___________________ Scenario: One of your neighbors, Mr. Jones, is interested in hiring you on a part-time basis to help with yard work such as raking, weeding, and shoveling in the winter. However, he wants to pay you $10 to come to his house to work and then $8 for each hour you are working. A different neighbor, Mrs. Smith, wants to pay you $12 an hour for each hour you are working. Your parents are encouraging you to take Mr. Jones’s offer. You are not so sure… Which offer is better? Why? Table: Mr. Jones Mrs. Smith

Hours $

0 1 2 3 4 5 6 7 8 9 10

Hours $

0 1 2 3 4 5 6 7 8 9 10

Graph:

Equation: (in slope intercept form - y = mx + b) Mr. Jones: Mrs. Smith:

Your parents are encouraging you to take Mr. Jones’s offer. You’re not so sure…Which offer is better? Why? __________________________________________________________________________________________ __________________________________________________________________________________________ Is there a certain amount of hours you could work where the offers would be the same? ____________ When (which hours) would it be better to take Mr. Jones offer? ___________________________________ When(which hours) would it be better to take Mrs. Smith’s offer? __________________________________

ofhoursworked g total earned

9 8 110

y DX

too I

890 lO lIO O 80 I oXh18 12 So I R26 24 N S

34 36 A I jonesus g µ

60 f 40 I58 72 O66 84 30 2 5,3074 I96 20 I82 10890 120 to I

y 8 110 y 12K 0 I 2 3 4 5 6 7 8 9 10ofhours

5 8 10 y DX

Only from 0 2.5 hours Mr Jones has a better offer2.5 hrs

From 0 2.5 hrsMore than 2.5 hrs