$103.00 x (0.55) = <span>$56.65
answer
markup : $56.65</span>
We are to show that if X ⊆ Y then (X ∪ Z) ⊆ (Y ∪ Z) for sets X, Y, Z.
Assume that a is a representative element of X, that is, a ∈ X. By the definition of union, a ∈ X ∪ Z. Now because X ⊆ Y and we assumed a ∈ X, then a ∈ Y by the definition of subset. And because a ∈ Y, then a ∈ Y ∪ Z by definition of union.
We chose our representative element, a, and showed that a ∈ X ∪ Y implies that a ∈ Y ∪ Z and this completes the proof.
We need to write the linear equation that is satisfied by (20,13) and (30,18).
$18 - $13 $5
The slope is m = --------------- = -------- = $0.50/mile
30 - 20 10
We need to find the y-intercept of this function. To do that, start with the slope-intercept form y = mx + b
and subst. the y and x values from one of the two given points. Suppose we choose (20,$13):
$13 = ($0.50/mile)(20 miles) + b
Then $13 = $10 + b, and b = $3.
There's an up-front charge of $3 just to step into the taxi.
The equation in question is y = ($0.50/mile)x + $3.00 (answer)
It’s 32.. bc you take 96 and times it by 1/3 yards
