Question

The graph shows the relationship between the number of candies bought and their cost. If the cost of each candy is increased by $\$0.25$, then how many fewer candies will one get for $\$70?$

• A. 5
• B. 10
• C. 7
• D. 15

Answer 1

The correct option is A 5

The graph is a straight line passing through origin.



$x_1=0,y_1=0;x_2=13,y_2=22.75$
Unit rate $=\frac{\text{Rise}}{\text{Run}}=\frac{y_2-y_1}{x_2-x_1}=\frac{22.75}{13.0}=\frac{2275}{1300}=\frac{175}{100}=\$1.75/$candy

Cost of buying 1 candy $=\$1.75$

Number of candies that can be purchased for $\$70=\frac{70}{1.75}=\frac{7000}{175}=40$

Increased cost of buying 1 candy $=1.75+0.25=\$2$

Number of candies that can be purchased for $\$70=\frac{70}{2}=35$

Difference in number of candies $=40-35=5$

Thus, a person will get five fewer candies for $\$70.$