QUESTION IMAGE
Question
elena bought 2.2 pounds of each type of fruit shown on the sign. what was the total cost of the fruit she bought? answer 4–6.
- write an equation to model the problem. let c be the total cost of the fruit elena bought. choose the correct answer below
a. $c = 2.2 + (\\$1.30 \times \\$1.35 \times \\$0.85)$
b. $c = \\$1.30 + \\$1.35 + \\$0.85$
c. $c = (2.2 \times \\$1.30) + (2.2 \times \\$1.35)$
d. $c = (2.2 \times \\$1.30) + (2.2 \times \\$1.35) + (2.2 \times \\$0.85)$
- what is the solution to the problem?
the total cost of the fruit elena bought is $\square$.
(type a whole number or a decimal.)
enter your answer in the answer box and then click check answer.
pears $\\$1.30$/lb
grapes $\\$1.35$/lb
apples $\\$0.85$/lb
Step1: Identify the cost formula
The cost for each fruit is (pounds bought) × (price per pound). Elena bought 2.2 pounds of each of three fruits: pears, grapes, apples. So we calculate the cost for each and sum them.
Step2: Use the equation from question 5 (option D)
The equation is \( c=(2.2\times\$1.30)+(2.2\times\$1.35)+(2.2\times\$0.85) \). Factor out 2.2: \( c = 2.2\times(\$1.30 + \$1.35 + \$0.85) \).
Step3: Calculate the sum inside the parentheses
\( \$1.30 + \$1.35 + \$0.85 = \$3.50 \).
Step4: Multiply by 2.2
\( c = 2.2\times\$3.50 = \$7.70 \).
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7.70