Question

Please help with questions #1, #3 and #4 but skip #2; and show your work on how to solve them (don't just give the answer, I'd like to learn this further). This is from my advanced math class, which is due on Monday and worth a huge grade. Thanks in advance! :)

Answer 1

Explanation:

Answer: y =
`(1)/(2320)x` + 0.06

Explanation:

Consider the "steps: distance" table as an x-y table. This makes "steps" the x-values and "distance" the y-values. So, the coordinates are:

(8022, 3.52) and (7558, 3.32)

Need to find the slope (m) and the y-intercept (b).

Slope (m)

m =
`(y_(2) - y_(1))/(x_(2) - x_(1))`

=
`(3.52-3.32)/(8022-7558)`

=
`(0.20)/(464)`

=
`(1)/(2320)`

Point-Slope formula:

y - y₁ = m(x - x₁) where m is slope and (x₁, y₁) is the point

y - 3.52 =
`(1)/(2320)`(x - 8022)

y =
`(1)/(2320)x` -
`(1)/(2320)(8022)` + 3.52

y =
`(1)/(2320)x` - 3.46 + 3.52

y =
`(1)/(2320)x` + 0.06

******************************************************************************

Answer: y = 9 miles

Explanation:

y =
`(1)/(2320)(21000)` + 0.06

= 9.05 + 0.06

= 9.11

********************************************************************************

Answer: 521,681

Explanation:

225.00 =
`(1)/(2320)x` + 0.06

-0.06 - 0.06

224.94 =
`(1)/(2320)x`

(2320)224.94 =
`(2320)(1)/(2320)x`

521,860.8 = x

********************************************************************************

Answer: 0.06 miles

Explanation:

y =
`(1)/(2320)(0)` + 0.06

= 0 + 0.06

= 0.06