QUESTION IMAGE
Question
a car wash. the table shows the total cost, y, as a
number of gallons, x total cost ($), y
0 10
3 22
6 34
does (3, 22) make the equation true or false?
y = 4x + 10
22 = 4(3) + 10 ?
Step1: Calculate the right - hand side of the equation
Substitute $x = 3$ into $4x+10$.
$4\times3 + 10=12 + 10$
Step2: Simplify the result
$12+10 = 22$
Step3: Compare with the left - hand side
The left - hand side is $y = 22$. Since the left - hand side ($22$) is equal to the right - hand side ($22$), the equation holds.
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True