Hillel is juggling flaming torches to raise money for charity. his initial appearance raises $500, and he raises $15 for each minute of juggling performance. the amount r of money hillel raises is a function of t, the length of his performance in minutes. write the function's formula.

Step-by-step explanation:

Let R be the amount of money Hillel raises is a function of t, the length of his performance in minutes.

We have been given that Hillel raises $15 for each minute of juggling performance. This means that change in amount of money with every minute of juggling performance is 15, so slope of our line will be 15 and money raised in t minutes of performance will be 15t.

His initial appearance raises $500, so 500 will be our y-intercept.

The total money raised by Hillel after t minutes of juggling performance will be: .

Since we know that line of an equation in slope-intercept form is: , where,

m = slope of line,

b = y-intercept.

We are also given that R is a function of t, so substituting our given values in slope-intercept form of equation we will get our function formula as:

Therefore, the function gives the amount R of money Hillel raises in t minutes of juggling performance.

= 5

step-by-step explanation:

to find the 15th term substitute n = 15 into the nth term formula

= (- 3 × 15 ) + 50 = - 45 + 50 = 5