Final answer:
To rewrite the ratio 15 : 48 as an equivalent ratio of the form 1:n, set up a proportion and solve for n. The equivalent ratio is 1:3.2 (rounded to 1 decimal place).
Step-by-step explanation:
To rewrite the ratio 15 : 48 as an equivalent ratio of the form 1:n, we need to find a value to replace 15 in the ratio so that the ratio becomes 1:n. To do this, we can set up a proportion by setting the two ratios equal to each other: 1/n = 15/48. To solve for n, we cross-multiply and simplify the proportion: 48 = 15n. Then, divide both sides by 15 to find the value of n: n = 48/15 = 3.2 (rounded to 1 decimal place). Therefore, the equivalent ratio in the form 1:n is 1:3.2 (rounded to 1 decimal place).