b Add 65 to the savings in the inequality created in Part A.
A
aInequality: 15w ≥ 120 Solution: w ≥ 8
B
b See solution.
Practice makes perfect
a It is given that the cost of a bike is at least $120. This means the price can be greater than or equal to $120. It is also given that we save $15 per week. Let w be the number of weeks we have saved money. We can write the following inequality.
This means that it will take us at least 8 weeks to save enough money to afford a bike.
b
It is given that we got a contribution to the savings of $65. This changes the inequality, as it adds to the 15 dollars per week we were saving. We can now write another inequality.
15w+65 ≥ 120
Since we got some extra money, we can expect that it will take us a shorter amount of time to save up the necessary amount.
