Question 30 (1 point) While running a marathon, you drink one bottle of Gatorade for every 3 miles you
run, and the number of bottles you drink as a function of the number of miles you
run can be described by the function G(m) = 5. The cost of a bottle of Gatorade is
$1.52, and the cost in dollars of Gatorade that you consume as a function of the
number of bottles you drink can be described by the function C(b) = 1.52b. If you run
60 miles, about how much Gatorade do you consume costs?
=
a) $30.00
b) $1.25
c) $10.00
d) $3.75
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all it means is function 3

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm