While driving for a rideshare, Mason earns a fixed base amount, as well as a variable per km rate. If he drives 7 km, he earns $17.40. if he drives 12 km, he earns $25.90. Create an equation to model this relation and
then use the equation to determine Mason's earnings if he drives 22.5 km.

PLSS HELP

$43.75

Step-by-step explanation:

Let the 2 situations given represent 2 points on the line. The number of km he drives is the x coordinate, and the amount he earns is the y coordinate:

These 2 points will be (7, 17.4) and (12, 25.9)

Using these points, find the slope using rise over run (y2 - y1) / (x2 - x1)

Plug in the points:

(y2 - y1) / (x2 - x1)

(25.9 - 17.4) / (12 - 7)

8.5 / 5

= 1.7

Next, plug in the slope and a point into y = mx + b to find the y intercept:

y = mx + b

17.4 = 1.7(7) + b

17.4 = 11.9 + b

5.5 = b

Plug the slope and the y intercept into y = mx + b to get the equation:

y = 1.7x + 5.5

Using this, find his earnings if he drives 22.5 km. Plug in 22.5 as x:

y = 1.7x + 5.5

y = 1.7(22.5) + 5.5

y = 43.75

So, if he drives 22.5 km, he will earn $43.75

-2x + 7 = 7

subtract 7 from both sides.

-2x = 0

divide both sides by -2.

x = 0