Answer:
Step-by-step explanation: letter B is the right answer
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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Answer:
-2 and 12
Step-by-step explanation:
To find the two numbers which are 7 units away from 5, add 7 to 5 and subtract 7 from 5
5+7 = 12
5-7 = -2
Based on the equation given, it can be deduced that the value of the number will be 36.
Let the number be represented by x
Therefore, seven less than one-fourth of a number will be:
=(1/4 × x) - 7
= 0.25x - 7
Now, seven less than one-fourth of a number is 2 will be written as:
0.25x - 7 = 2
0.25x = 2 + 7
0.25x = 9
x = 9/0.25
x = 36
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