The function f(x) = 2.5x + 75 is used to model the cost of renting billboard space depending on the area, in
square feet, of the billboard, x, and including a standard
layout fee. The mathematical range for the function is
the set of real numbers
Which statement describes how the reasonable range
differs from the mathematical range?
a. The reasonable range contains only integers.
b. The reasonable range contains only positive rational
numbers
c. The reasonable range contains only integers greater
than 75
d. The reasonable range contains only positive rational
numbers greater than 75

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step-by-step explanation:

because i said it is

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.