Answer:
Step-by-step explanation:
'x = 50' is correct.
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Answer:
slope = , y- intercept = - 1
Step-by-step explanation:
to calculate the slope m use the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (0, - 1) and (x₂, y₂ ) = (3, 0) ← 2 points on the line
m = =
→ B
the y-intercept c is where the line crosses the y- axis
that is c = - 1 ← y- intercept
Based on their equations that models each proportional relationship for each store, the correct statement is: A. The cost at Store A is $2.00 greater than at Store B.
<h3>How to Find the Constant Proportionality of a Proportional Relationship?</h3>The constant of proportionality, k, is given as, y/x. The equation that models a relationship that has a constant (k), is expressed as y = kx.
The relationship between number of CDs in packages and its cost for each store is proportional because we are told the rate at each store is constant.
Using a pair of values in each table, we can find the constant of proportionality (k) and the equation that models each table given.
Store A:
Constant of proportionality, k = y/x = 0.70/1 = 0.70
The equation for store A would be, y = 0.70x.
Store B:
Constant of proportionality, k = y/x = 0.60/1 = 0.60.
The equation for store A would be, y = 0.60x.
Find the cost of a package containing 20 CDs for store A and store D using their equations by substituting x = 20 into each of the equations:
Store A: y = 0.70(20) = $14
Store B: y = 0.60(20) = $12
The difference between both stores is: 14 - 12 = $2.
Therefore, based on their equations that models each proportional relationship for each store, the correct statement is: A. The cost at Store A is $2.00 greater than at Store B.
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