Using equations of linear model function, the number of hours Jeremy wants to skate is calculated as 3.
<h3>How to Write the Equation of a Linear Model Function?</h3>
The equation that can represent a linear model function is, y = mx + b, where m is the unit rate and b is the initial value.
Equation for Rink A:
Unit rate (m) = (35 - 19)/(5 - 1) = 16/4 = 4
Substitute (x, y) = (1, 19) and m = 4 into y = mx + b to find b:
19 = 4(1) + b
19 - 4 = b
b = 15
Substitute m = 4 and b = 15 into y = mx + b:
y = 4x + 15 [equation for Rink A]
Equation for Rink B:
Unit rate (m) = (39 - 15)/(5 - 1) = 24/4 = 6
Substitute (x, y) = (1, 15) and m = 6 into y = mx + b to find b:
15 = 6(1) + b
15 - 6 = b
b = 9
Substitute m = 6 and b = 9 into y = mx + b:
y = 6x + 9 [equation for Rink B]
To find how many hours (x) both would cost the same (y), make both equation equal to each other
4x + 15 = 6x + 9
4x - 6x = -15 + 9
-2x = -6
x = 3
The hours Jeremy wants to skate is 3.
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Step-by-step explanation:
it is 5/6 ..............
Answer:
13.75
Step-by-step explanation:
make a ratio between the original lengths, 11 : 5.5
then put the ratio of the enlarged lengths, 27.5 : __
now you divide 27.5 by 11 to find how many times you multiplied the lengths, 2.5.
now you multiply 5.5 by 2.5 giving you the answer of 13.75
Two candles=8 hours=8*60=480 minutes
4 inch is 4/12 of a candle, 4/12 of 4 hours=16/12=4/3 hours=80 minutes
so the total minutes are 480+80=560
