In 2016, a maglev train in Japan traveled 1.1 miles in 1045 seconds. A picture of a Maglev train is shown. The caption reads Maglev trains use magnets to hover above the tracks. This helps them reach extraordinary speeds.

Question 1
Part A

Find the speed of the train in miles per hour.+

~3.8 mph (see below)

What we know:

How to solve:

We need to find what number when multiplied with 1045, will equal 3600. The unknown will be a variable x, and the seconds will be represented with s. Then, we need to multiply this number with the value of the miles (m) to find how many miles are traveled in that hour (h).

Finding X (in seconds)

Set up equation                                                       H = sx

Substitute                                                           3600 = 1045x

Divide                                                                 /1045   /1045

Solution                                                 3.44497608 = x

Finding Miles

Set up equation                                                 mph = x(m/s)

Substitute                                                           mph = 3.44497608(1.1/1045)

Simplify                                                               mph = ~3.79/3600

Convert                                                               mph = ~3.8 miles per hour

first option

a function is a relation in which an input is paired with exactly one output.

so, let's find the right answer.

in our first option, our inputs are january, february, and march. the outputs are 30, 28, and 25. each input has it's own output. this is correct!

our second option we know is incorrect, because ms. valverade has two outputs, dogs and cats. this is not a function.

our third option is incorrect as well. the yellow square has two ouputs, the square and the triangle.

lastly, in our fourth option, we see the number 7 two times with a different output. therefore, this is not a function.

remember: each input must be paired with only one output!