You are saving money to buy a new bicycle that costs $155.75. You have $30 and plan to save $5 each week. Your aunt decides to give you an additional $10 each week

8.4 weeks

Step-by-step explanation:

Linear equation Problem

given data

cost of bicycle= $155.75

money at hand= $30

savings per week=$5

tips per week=$10

therefore total savings per week= $15

We know that the expression for the total amount is

y=mx+c

therefore we can solve for the number of weeks it will take to arrive at the cost of the bicycle

155.75=15x+30

solve for x

155.75-30=15x

125.75=15x

x=125.75/15

x=8.4

therefore it will take up to 8.4 weeks to save up for the bicycle