Date Kell works at an after-school program at an
elementary school. The
table below shows how
much money he earned every day last week.
Monday Wednesday Friday
Time
3
5
worked
Money
$18
$24 $30
earned
4
Mariko has a job mowing lawns that pays $5 per
hour. Who would make more money for working 10
hours? Explain or show your work.

answer: 5

step-by-step explanation:

question says to graph a triangle (xyz) and reflect it over the line y=x to create triangle x'y'z'.

we know that line y=x has both coordinates equal like (1,1), (5,5) etc so we can easily graph that reflecting line.

description of transformation:

we can see that x and y coordinate gets switched after transformation like (2,8) changed to (8,2)

what do you notice about the two line segments you drew:

we see that line segments xp and x'p are of same length and perpendicular to the reflecting line y=x.

do you think you would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line? :

yes, i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line.

how do you know? :

by measuring the length of yk and y'k.