Which car loan should Carmen choose? Be sure to use the PACED decision-making model and show your work.

x ≥ 18 is your answer

step-by-step explanation:

let "a number" = x

(2/3)x + 17 ≥ 29

isolate the variable (x). do the opposite of pemdas (parenthesis, exponent (& root), multiplication, division, addition, subtraction).

first, subtract 17 from both sides.

(2/3)x + 17 (-17) ≥ 29 (-17)

(2/3)x ≥ 29 - 17

(2/3)x ≥ 12

next, multiply 3/2 to both sides to isolate the x

(3/2)(2/3)x ≥ 12(3/2)

x ≥ 12(3/2)

simplify. multiply, then divide

x ≥ (12 * 3)/2

x ≥ (36)/2

x ≥ 18

x ≥ 18 is your answer

~

the scale is 1/9 my friend can't simplify 1 anymore so it will be (for every 1 there's 9)

-x represents miles per gallon

-y represents cargo weight

-vehicle traveled an average of 5.3 miles per gallon(x1) with load of 22 tons (y1)

- vehicle traveled an average of 6.3 miles per gallon( x2) with load of 18 tons( y2)

so, equation now becomes

so, option a) is correct