Tatesville has x inches of rainfall in April, $(x + 1.3) i n c h e s$ of rainfall in May, and $(2 x + 0.5) i n c h e s$ in June. Which expression shows the total amount of rainfall for Tatesville for the three-month period? If the rainfall in May was 2.5 inches, find the total rainfall over the three months. [4 MARKS]

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Solution

Forming equation : 1 Mark
Equating equation according to question : 1 Mark
Steps : 1 Mark
Result : 1 Mark

Total amount of rainfall
$= x + (x + 1.3) + (2 x + 0.5) i n c h e s$

$= x + x + 1.3 + 2 x + 0.5 i n c h e s$

$= 4 x + 1.8 i n c h e s$

Rainfall in May
$(x + 1.3) = 2.5 i n c h e s$

$x + 1.3 = 2.5$

$x = 2.5 - 1.3$

$x = 1.2 i n c h e s$

Total Rainfall
$= 4 x + 1.8 = 4 (1.2) + 1.8 = 4.8 + 1.8 = 6.6 i n c h e s$

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Tatesville has $x$ inches of rainfall in April, $(x + 1.3) i n c h e s$ of rainfall in May, and $(2 x + 0.5) i n c h e s$ in June. Write the expression that shows the total amount of rainfall for Tatesville for the three-month period? If the rainfall in May was 2.5 inches, find the total rainfall over the three months. [4 MARKS]

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