Question

1. shawn reads 3 pages every 2.5 minutes. which equation represents the number of pages (n) shawn can read in 45 minutes?

a. (\frac{n}{45}=\frac{2.5}{3})
b. (\frac{n}{45}=\frac{3}{2.5})
c. (\frac{n}{2.5}=\frac{45}{3})
d. (\frac{n}{2.5}=\frac{3}{45})

1. ava spends $10.76. she buys 1 gallon of milk, 3 pounds of bananas, and some grapes.

• milk costs $3.99 per gallon.
• bananas cost $0.59 per pound.
• grapes cost $2.00 per pound.

part a
which phrase defines a variable for avas purchase?
a. (x) represents the number of items purchased.
b. (x) represents the price per pound of grapes.
c. (x) represents the price of 2 pounds of grapes.
d. (x) represents the number of pounds of grapes.

part b
use the variable defined in part a to write an equation that can be used to find the number of pounds of grapes ava buys.

part c
how many pounds of grapes does ava buy?
______ pounds

Explanation:

Question 3

Step1: Set up page-time proportion

The ratio of pages to minutes is constant. So $\frac{n}{45} = \frac{3}{2.5}$

The unknown quantity in Ava's purchase is the number of pounds of grapes, as the amount of milk, bananas, and their prices are given.

Step1: Calculate banana total cost

Cost of bananas: $3 \times 0.59 = 1.77$

Step2: Sum costs to total equation

Total cost = milk cost + banana cost + grape cost.
$3.99 + 1.77 + 2x = 10.76$
Simplify the known constants: $5.76 + 2x = 10.76$

Answer:

B. $\frac{n}{45}=\frac{3}{2.5}$

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Question 4 Part A