Question

Jeff writes comic strips for a local newspaper. The number of comic strips he creates is represented by the function R(x) = 3x, where R(x) gives the number of comic strips and x is the number of work hours he puts in, which varies day to day. If he puts in {3, 4, 6, 7, 9} work hours, how many comic strips can he write?

a) 9
b) 12
c) 18
d) 21

Answer 1

The total number of comic strips Jeff can write by putting in {3, 4, 6, 7, 9} work hours is 9, 12, 18, 21, and 27, respectively.

Explanation:

The function
`\(R(x) = 3x\)`represents the number of comic strips Jeff can create by putting in x work hours. To find how many comic strips he can write for each set of work hours, we substitute the given values into the function.

For 3 work hours:
`\(R(3) = 3 * 3 = 9` comic strips.

For 4 work hours:
`\(R(4) = 3 * 4 = 12\)` comic strips.

For 6 work hours:
`\(R(6) = 3 * 6 = 18\)` comic strips.

For 7 work hours:
`\(R(7) = 3 * 7 = 21\)` comic strips.

For 9 work hours:
`\(R(9) = 3 * 9 = 27\)` comic strips.

Thus, Jeff can write 9, 12, 18, 21, and 27 comic strips by putting in 3, 4, 6, 7, and 9 work hours, respectively. The function
`\(R(x) = 3x\)` simply multiplies the number of work hours by 3 to determine the corresponding number of comic strips Jeff can create.

This relationship shows that as Jeff increases his work hours, the number of comic strips he produces also increases linearly at a rate of 3 comic strips per work hour. This linear relationship between work hours and comic strips allows us to calculate the number of comic strips Jeff can create for any given amount of work time.