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:
- 1/4
Step-by-step explanation:
Answer:
Always
Step-by-step explanation:
A mononomial's variable can only have exponents 0,1,2,3 etc so the product will also be a mononomial.
Answer: OPTION C.
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:

Where "m" is the slope and "b" is the y-intercept.
Notice that the line of f(x) is dashed. This means that the symbol of the inequality must be
or
.
Since the shaded region A is above the line, the symbol is 
Observe that its y-intercept is:

The line of g(x) is solid. This means that the symbol of the inequality must be
or
.
Since the shaded region B is below the line, the symbol is
.
Observe that its y-intercept is:
.
Based on this, we can conclude that the graph represents the following System of Inequalities:
