Tyler has $600 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax. He buys a new bicycle for $233.09. He buys 3 bicycle reflectors for $16.38 each and a pair of bike gloves for $29.13. He plans to spend some or all of the money he has left to buy new biking outfits for $52.48 each. Write and solve an inequality which can be used to determine xx, the number of outfits Tyler can purchase while staying within his budget.

x ≤ 5.5

Step-by-step explanation:

Amount with Tyler = $600

Cost of new bicycle = $233.09

Cost of 3 bicycle reflectors = $16.38 * 3

= $49.14

Cost of bike gloves = $29.13

Cost of biking outfit = $52.48

Number of biking outfit = x

233.09 + 49.14 + 29.13 + 52.48x ≤ 600

311.36 + 52.48x ≤ 600

52.48x ≤ 600 - 311.36

52.48x ≤ 288.64

x ≤ 288.64/52.48

x ≤ 5.5

Number of biking outfit = x

x ≤ 5.5

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.

you can first factor out the n to get n(1+5). we know that 1+5 is 6, so we just have 6n.