The distance Janessa traveled on the new tires with the given size is 26,470.25 miles.
The given parameters:
The diameter of the smaller tire is calculated as follows;
[tex]0.85 = \frac{h}{230} \\\\h = 0.85 \times 230 \\\\h = 195.5 \ mm\\\\h = 195.5 \ mm \times \frac{1 \ in}{25.4 \ mm} \\\\h = 7.7 \ in[/tex]
diameter of the smaller tire;
D = 2(7.7 in) + 18 in
D = 33.4 in
The circumference of the smaller tire;
[tex]C_1 = \pi D\\\\C_1 = 3.142 \times 33.4 \\\\C_1 = 104.94 \ in[/tex]
The diameter of the larger tire is calculated as follows;
[tex]0.85 = \frac{h}{250} \\\\h = 0.85 \times 250 \\\\h = 212.5 \ mm\\\\h = 212.5 \ mm \times \frac{1 \ in}{25.4 \ mm} \\\\h = 8.37 \ in[/tex]
diameter of the larger tire;
D = 2(8.37 in) + 21 in
D = 37.74 in
The circumference of the larger tire;
[tex]C_2 = \pi D\\\\C_2 = 3.142 \times 37.74 \\\\C_2 = 118.58 \ in[/tex]
After one rotation, the larger tire will travel the following distance more than the smaller tire;
[tex]n = \frac{C_2}{C_1} = \frac{118.58}{104.94} = 1.13[/tex]
The distance Janessa traveled on the new tires when her odometer shows she has traveled 23425 miles;
[tex]distance = 1.13 \times 23,425\\\\distance = 26,470.25 \ miles[/tex]
Learn more about tire sizes and distance traveled: https://brainly.com/question/4822144
