Jonathan fills 2/5 of a toffe box in 15 seconds. How many boxes can he fill in 10 minutes?

16 boxes in 10 minutes

Step-by-step explanation:

2/5 = 15 sec

15 ÷ 2=7.5              1/5 = 7.5 seconds

7.5 × 5 = 37.5            37.5 = 1 box

60 × 10 = 600 secs

600 ÷ 37.5 = 16

16 boxes of toffee were made in 10 minutes

The graph has an initial value of 60, and each successive term is determined by multiplying by One-third.

Step-by-step explanation:

Which is the best description of the graph of the function f(x) = 60(One-third)x?

A. The graph has an initial value of 20, and each successive term is determined by subtracting One-third.

B. The graph has an initial value of 20, and each successive term is determined by multiplying by One-third.

C. The graph has an initial value of 60, and each successive term is determined by subtracting One-third.

D. The graph has an initial value of 60, and each successive term is determined by multiplying by One-third.

Given:

f(x) = 60 (1/3)^x         see graph attached.

Examining the graph, we notice that

1. The graph has an initial value of 60, at point (0,60)

2. The graph decreases as x increases.  Each successive term is determined by multiplying by 1/3, namely in the sequence

{(0,60), (1,20), (2, 20/3), (3, 20/9), ...}

This means the choice is D (or the fourth one).