Question

Plz help asap !! The high school jazz band is selling homemade leather bracelets at a local craft fair to raise money for a trip. The group spent $200 on supplies, which is enough to make 260 bracelets. The group is charging $2 per bracelet at the craft fair.

Write a function modeling the relationship.

Answer 1

y = 2x - 200

Explanation:

The function type that would model this relationship is linear because for each bracelet sold, the jazz band would increase their profit by $2. Since it has a consistent rate, it is linear. Using the slope-intercept formula of y = mx + b, where 'm' is the rate and 'b' is the initial value, you can use $2 for the rate or cost per bracelet and -$200 for the initial value or cost of supplies:

y = 2x - 200, where '2' is the cost per bracelet, 'x' the number of bracelets sold, '-200' is the cost for supplies and 'y' is the profit.

Answer 2

f(b) = 2b - 200

Explanation:

Let f(b) be the profit the band makes on sales of bracelets, where b is the number of bracelets sold.

The band charged $2 per bracelet at the craft fair, and they spent $200 on supplies.

Profit = selling price – cost price

To find the selling price, multiply the number of bracelets sold by the cost of one bracelet.

Selling price = 2b

Cost price = $200