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Answer:
the actual distance is 1800 ft.
Step-by-step explanation:
Proportion states that the two fractions or ratios are equal.
Let x be the actual distance.
As per the statement:
Reggie was looking at a map of the school the scale shows that 1 inch equals 150 ft.
⇒1 inch = 150 ft.
if the distance between his classroom in the cafeteria measures 12 in on the map.
by definition of proportions we have;
By cross multiply we have;
ft
Therefore, the actual distance is 1800 ft.
note that gradient = at x = a
calculate for each pair of functions and compare gradient
(a)
= 2x and
= - 1
at x = 4 : gradient = 8 and - 1 : 8 > - 1
(b)
= 2x + 3 and
= - 2
at x = 2 : gradient = 7 and - 2 and 7 > - 2
(c)
= 4x + 13 and
= 2
at x = - 7 : gradient = - 15 and 2 and 2 > - 15
(d)
= 6x - 5 and
= 2x - 2
at x = - 1 : gradient = - 11 and - 4 and - 4 > - 11
(e)
y = √x =
= 1/(2√x) and
= 2
at x = 9 : gradient = and 2 and 2 >