Q:

James wants to compete in the international speed texting competition next year where participants compete on text speed and accuracy. James’s current text speed is 2 characters per second. James has found that his texting speed increases at a rate of 1⁄2 a character per second for each month that he practices.

Accepted Solution

A:
1a 2.5 characters per second1b 3 characters per second1c 3.5 characters per second 1d s = 2 + 0.5m2a 8 = 2 +0.5m6=0.5 mm=122b the final speed James wants is 8 cps. sub that in for s. we want to know m. first, subtract 2 from both sides to get 6. then, divide by 0.5, which is 1/2 as a fraction. In order to divide a number by a fraction, you need to invert the fraction and switch operations from division to multiplication. It becomes 2/1 * 6 = 12.3a 10 r +4 = 810r =4 r =4/10=2/53b. In this equation, r could be the increase in amount of characters that Lydia can type per second.4. John buys a small tree that is 5 inches tall. Each month, this tree grows 8 inches. How long will it take for the tree to reach 37 inches in height?If this helps, please consider giving me brainliest.